1382426400 has 288 divisors, whose sum is σ = 4922684928. Its totient is φ = 335462400.

The previous prime is 1382426389. The next prime is 1382426459. The reversal of 1382426400 is 46242831.

It is a super-2 number, since 2×1382426400² = 3822205502833920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264254 + ... + 1265346.

It is an arithmetic number, because the mean of its divisors is an integer number (17092656).

Almost surely, 2^1382426400 is an apocalyptic number.

1382426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461342464).

1382426400 is an abundant number, since it is smaller than the sum of its proper divisors (3540258528).

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

1382426400 is a wasteful number, since it uses less digits than its factorization.

1382426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1382426400 is about 37180.9951453696. The cubic root of 1382426400 is about 1113.9884113382.

The spelling of 1382426400 in words is "one billion, three hundred eighty-two million, four hundred twenty-six thousand, four hundred".