390746400 has 432 divisors, whose sum is σ = 1500091488. Its totient is φ = 87552000.

The previous prime is 390746399. The next prime is 390746417. The reversal of 390746400 is 4647093.

It is a super-2 number, since 2×390746400² = 305365498225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9530380 + ... + 9530420.

It is an arithmetic number, because the mean of its divisors is an integer number (3472434).

Almost surely, 2^390746400 is an apocalyptic number.

390746400 is a gapful number since it is divisible by the number (30) 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 390746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750045744).

390746400 is an abundant number, since it is smaller than the sum of its proper divisors (1109345088).

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

390746400 is a wasteful number, since it uses less digits than its factorization.

390746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 390746400 is about 19767.3063415327. The cubic root of 390746400 is about 731.0801548703.

The spelling of 390746400 in words is "three hundred ninety million, seven hundred forty-six thousand, four hundred".