474279624 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 124758144.

The previous prime is 474279607. The next prime is 474279629. The reversal of 474279624 is 426972474.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 474279624.

It is not an unprimeable number, because it can be changed into a prime (474279629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1238137 + ... + 1238519.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^474279624 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 474279624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

474279624 is an abundant number, since it is smaller than the sum of its proper divisors (1198839096).

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

474279624 is a wasteful number, since it uses less digits than its factorization.

474279624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

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

The square root of 474279624 is about 21777.9618881107. The cubic root of 474279624 is about 779.8507406706.

The spelling of 474279624 in words is "four hundred seventy-four million, two hundred seventy-nine thousand, six hundred twenty-four".