474896400 has 120 divisors (see below), whose sum is σ = 1659593184. Its totient is φ = 115123200.

The previous prime is 474896381. The next prime is 474896417. The reversal of 474896400 is 4698474.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789 + ... + 31188.

Almost surely, 2^474896400 is an apocalyptic number.

474896400 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 474896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829796592).

474896400 is an abundant number, since it is smaller than the sum of its proper divisors (1184696784).

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

474896400 is a wasteful number, since it uses less digits than its factorization.

474896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36009 (or 35998 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 474896400 is about 21792.1178410911. The cubic root of 474896400 is about 780.1886460218.

The spelling of 474896400 in words is "four hundred seventy-four million, eight hundred ninety-six thousand, four hundred".