399034534800 has 480 divisors, whose sum is σ = 1479801000960. Its totient is φ = 90957363200.

The previous prime is 399034534753. The next prime is 399034534867. The reversal of 399034534800 is 8435430993.

It is a happy number.

It is a super-2 number, since 2×399034534800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 399034534800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17901262 + ... + 17923538.

It is an arithmetic number, because the mean of its divisors is an integer number (3082918752).

Almost surely, 2^399034534800 is an apocalyptic number.

399034534800 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 399034534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739900500480).

399034534800 is an abundant number, since it is smaller than the sum of its proper divisors (1080766466160).

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

399034534800 is a wasteful number, since it uses less digits than its factorization.

399034534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22391 (or 22380 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 399034534800 in words is "three hundred ninety-nine billion, thirty-four million, five hundred thirty-four thousand, eight hundred".