474106900 has 72 divisors (see below), whose sum is σ = 1068318776. Its totient is φ = 182476800.

The previous prime is 474106883. The next prime is 474106909. The reversal of 474106900 is 9601474.

It can be written as a sum of positive squares in 12 ways, for example, as 2869636 + 471237264 = 1694^2 + 21708^2 .

It is a super-2 number, since 2×474106900² = 449554705255220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474106909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358240 + ... + 359560.

Almost surely, 2^474106900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534159388).

474106900 is an abundant number, since it is smaller than the sum of its proper divisors (594211876).

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

474106900 is a wasteful number, since it uses less digits than its factorization.

474106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 474106900 is about 21773.9959584822. The cubic root of 474106900 is about 779.7560600311.

The spelling of 474106900 in words is "four hundred seventy-four million, one hundred six thousand, nine hundred".