387354420 has 48 divisors (see below), whose sum is σ = 1205104320. Its totient is φ = 103294368.

The previous prime is 387354419. The next prime is 387354427. The reversal of 387354420 is 24453783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387354427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358122 + ... + 359201.

It is an arithmetic number, because the mean of its divisors is an integer number (25106340).

Almost surely, 2^387354420 is an apocalyptic number.

387354420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387354420 is an abundant number, since it is smaller than the sum of its proper divisors (817749900).

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

387354420 is a wasteful number, since it uses less digits than its factorization.

387354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717341 (or 717333 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 387354420 is about 19681.3216019657. The cubic root of 387354420 is about 728.9585574842.

The spelling of 387354420 in words is "three hundred eighty-seven million, three hundred fifty-four thousand, four hundred twenty".