474297314400 has 1440 divisors, whose sum is σ = 2144043272448. Its totient is φ = 99769190400.

The previous prime is 474297314399. The next prime is 474297314417. The reversal of 474297314400 is 4413792474.

474297314400 is a `hidden beast` number, since 4 + 7 + 4 + 297 + 314 + 40 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1432922235 + ... + 1432922565.

Almost surely, 2^474297314400 is an apocalyptic number.

474297314400 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 474297314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072021636224).

474297314400 is an abundant number, since it is smaller than the sum of its proper divisors (1669745958048).

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

474297314400 is an equidigital number, since it uses as much as digits as its factorization.

474297314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 474297314400 in words is "four hundred seventy-four billion, two hundred ninety-seven million, three hundred fourteen thousand, four hundred".