474442984400 has 720 divisors, whose sum is σ = 1492037836800. Its totient is φ = 141761664000.

The previous prime is 474442984373. The next prime is 474442984417. The reversal of 474442984400 is 4489244474.

It is a super-2 number, since 2×474442984400² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 2090057087 + ... + 2090057313.

Almost surely, 2^474442984400 is an apocalyptic number.

474442984400 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 474442984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746018918400).

474442984400 is an abundant number, since it is smaller than the sum of its proper divisors (1017594852400).

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

474442984400 is a wasteful number, since it uses less digits than its factorization.

474442984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 50.

The spelling of 474442984400 in words is "four hundred seventy-four billion, four hundred forty-two million, nine hundred eighty-four thousand, four hundred".