390255386400 has 1152 divisors, whose sum is σ = 1652294246400. Its totient is φ = 87843225600.

The previous prime is 390255386377. The next prime is 390255386467. The reversal of 390255386400 is 4683552093.

390255386400 is a `hidden beast` number, since 3 + 90 + 2 + 553 + 8 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×390255386400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319096189 + ... + 319097411.

It is an arithmetic number, because the mean of its divisors is an integer number (1434283200).

Almost surely, 2^390255386400 is an apocalyptic number.

390255386400 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 390255386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826147123200).

390255386400 is an abundant number, since it is smaller than the sum of its proper divisors (1262038860000).

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

390255386400 is a wasteful number, since it uses less digits than its factorization.

390255386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 390255386400 in words is "three hundred ninety billion, two hundred fifty-five million, three hundred eighty-six thousand, four hundred".