474153638400 has 1440 divisors, whose sum is σ = 1930078550400. Its totient is φ = 110361968640.

The previous prime is 474153638353. The next prime is 474153638447. The reversal of 474153638400 is 4836351474.

474153638400 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 5 + 3 + 638 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (474153638353) and next prime (474153638447).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2382681501 + ... + 2382681699.

Almost surely, 2^474153638400 is an apocalyptic number.

474153638400 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 474153638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965039275200).

474153638400 is an abundant number, since it is smaller than the sum of its proper divisors (1455924912000).

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

474153638400 is a wasteful number, since it uses less digits than its factorization.

474153638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 474153638400 its reverse (4836351474), we get a palindrome (478989989874).

The spelling of 474153638400 in words is "four hundred seventy-four billion, one hundred fifty-three million, six hundred thirty-eight thousand, four hundred".