390420172800 has 624 divisors, whose sum is σ = 1639232721280. Its totient is φ = 89234472960.

The previous prime is 390420172781. The next prime is 390420172811. The reversal of 390420172800 is 8271024093.

390420172800 is a `hidden beast` number, since 3 + 90 + 420 + 1 + 72 + 80 + 0 = 666.

It is a super-2 number, since 2×390420172800² (a number of 24 digits) contains 22 as substring.

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

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, 19343514 + ... + 19363686.

Almost surely, 2^390420172800 is an apocalyptic number.

390420172800 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 390420172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819616360640).

390420172800 is an abundant number, since it is smaller than the sum of its proper divisors (1248812548480).

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

390420172800 is a wasteful number, since it uses less digits than its factorization.

390420172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 390420172800 its reverse (8271024093), we get a palindrome (398691196893).

The spelling of 390420172800 in words is "three hundred ninety billion, four hundred twenty million, one hundred seventy-two thousand, eight hundred".