398262009600 has 3456 divisors, whose sum is σ = 1998449868800. Its totient is φ = 75246796800.

The previous prime is 398262009553. The next prime is 398262009623. The reversal of 398262009600 is 6900262893.

398262009600 is a `hidden beast` number, since 39 + 8 + 2 + 6 + 2 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×398262009600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9261907179 + ... + 9261907221.

Almost surely, 2^398262009600 is an apocalyptic number.

398262009600 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 398262009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999224934400).

398262009600 is an abundant number, since it is smaller than the sum of its proper divisors (1600187859200).

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

398262009600 is a wasteful number, since it uses less digits than its factorization.

398262009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 398262009600 in words is "three hundred ninety-eight billion, two hundred sixty-two million, nine thousand, six hundred".