472552080 has 480 divisors, whose sum is σ = 2009121408. Its totient is φ = 90316800.

The previous prime is 472552061. The next prime is 472552099. The reversal of 472552080 is 80255274.

It is an interprime number because it is at equal distance from previous prime (472552061) and next prime (472552099).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681540 + ... + 1681820.

Almost surely, 2^472552080 is an apocalyptic number.

472552080 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 472552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004560704).

472552080 is an abundant number, since it is smaller than the sum of its proper divisors (1536569328).

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

472552080 is a wasteful number, since it uses less digits than its factorization.

472552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 472552080 is about 21738.2630400867. The cubic root of 472552080 is about 778.9027306383.

The spelling of 472552080 in words is "four hundred seventy-two million, five hundred fifty-two thousand, eighty".