474366960 has 240 divisors, whose sum is σ = 1679678208. Its totient is φ = 119808000.

The previous prime is 474366943. The next prime is 474366983. The reversal of 474366960 is 69663474.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182760 + ... + 1183160.

Almost surely, 2^474366960 is an apocalyptic number.

474366960 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 474366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839839104).

474366960 is an abundant number, since it is smaller than the sum of its proper divisors (1205311248).

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

474366960 is a wasteful number, since it uses less digits than its factorization.

474366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 474366960 is about 21779.9669421237. The cubic root of 474366960 is about 779.8986061496.

The spelling of 474366960 in words is "four hundred seventy-four million, three hundred sixty-six thousand, nine hundred sixty".