474648720 has 320 divisors, whose sum is σ = 1837215744. Its totient is φ = 98703360.

The previous prime is 474648689. The next prime is 474648767. The reversal of 474648720 is 27846474.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2249415 + ... + 2249625.

Almost surely, 2^474648720 is an apocalyptic number.

474648720 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 474648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918607872).

474648720 is an abundant number, since it is smaller than the sum of its proper divisors (1362567024).

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

474648720 is a wasteful number, since it uses less digits than its factorization.

474648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 474648720 is about 21786.4343112865. The cubic root of 474648720 is about 780.0529878533.

The spelling of 474648720 in words is "four hundred seventy-four million, six hundred forty-eight thousand, seven hundred twenty".