398404281600 has 1296 divisors, whose sum is σ = 1656492102720. Its totient is φ = 90508492800.

The previous prime is 398404281599. The next prime is 398404281617. The reversal of 398404281600 is 6182404893.

It is a happy number.

398404281600 is a `hidden beast` number, since 39 + 8 + 4 + 0 + 4 + 2 + 8 + 1 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 583314859 + ... + 583315541.

Almost surely, 2^398404281600 is an apocalyptic number.

398404281600 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 398404281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828246051360).

398404281600 is an abundant number, since it is smaller than the sum of its proper divisors (1258087821120).

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

398404281600 is a wasteful number, since it uses less digits than its factorization.

398404281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 398404281600 in words is "three hundred ninety-eight billion, four hundred four million, two hundred eighty-one thousand, six hundred".