387214464 has 192 divisors, whose sum is σ = 1289312640. Its totient is φ = 102057984.

The previous prime is 387214439. The next prime is 387214469. The reversal of 387214464 is 464412783.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×387214464² = 299870082261614592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (387214469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243817 + ... + 245399.

It is an arithmetic number, because the mean of its divisors is an integer number (6715170).

Almost surely, 2^387214464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644656320).

387214464 is an abundant number, since it is smaller than the sum of its proper divisors (902098176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387214464 is a wasteful number, since it uses less digits than its factorization.

387214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1608 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 387214464 is about 19677.7657268299. The cubic root of 387214464 is about 728.8707529583.

It can be divided in two parts, 3872 and 14464, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 387214464 in words is "three hundred eighty-seven million, two hundred fourteen thousand, four hundred sixty-four".