474138403200 has 3072 divisors, whose sum is σ = 2370134016000. Its totient is φ = 90326016000.

The previous prime is 474138403183. The next prime is 474138403213. The reversal of 474138403200 is 2304831474.

474138403200 is a `hidden beast` number, since 4 + 7 + 41 + 3 + 8 + 403 + 200 = 666.

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

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, 15294787185 + ... + 15294787215.

It is an arithmetic number, because the mean of its divisors is an integer number (771528000).

Almost surely, 2^474138403200 is an apocalyptic number.

474138403200 is a gapful number since it is divisible by the number (40) 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 474138403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185067008000).

474138403200 is an abundant number, since it is smaller than the sum of its proper divisors (1895995612800).

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

474138403200 is a wasteful number, since it uses less digits than its factorization.

474138403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 474138403200 in words is "four hundred seventy-four billion, one hundred thirty-eight million, four hundred three thousand, two hundred".