472469760 has 648 divisors, whose sum is σ = 2035627776. Its totient is φ = 104509440.

The previous prime is 472469743. The next prime is 472469771. The reversal of 472469760 is 67964274.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×472469760² = 446455348228915200, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240945 + ... + 15240975.

Almost surely, 2^472469760 is an apocalyptic number.

472469760 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 472469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017813888).

472469760 is an abundant number, since it is smaller than the sum of its proper divisors (1563158016).

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

472469760 is an equidigital number, since it uses as much as digits as its factorization.

472469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 472469760 is about 21736.3695220706. The cubic root of 472469760 is about 778.8574989421.

The spelling of 472469760 in words is "four hundred seventy-two million, four hundred sixty-nine thousand, seven hundred sixty".