472086972 has 216 divisors, whose sum is σ = 1463978880. Its totient is φ = 127733760.

The previous prime is 472086971. The next prime is 472086973. The reversal of 472086972 is 279680274.

It is an interprime number because it is at equal distance from previous prime (472086971) and next prime (472086973).

It is a super-2 number, since 2×472086972² = 445732218264257568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472086971) 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, 4866828 + ... + 4866924.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2^472086972 is an apocalyptic number.

472086972 is a gapful number since it is divisible by the number (42) 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 472086972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

472086972 is an abundant number, since it is smaller than the sum of its proper divisors (991891908).

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

472086972 is a wasteful number, since it uses less digits than its factorization.

472086972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 472086972 is about 21727.5624955953. The cubic root of 472086972 is about 778.6471025095.

The spelling of 472086972 in words is "four hundred seventy-two million, eighty-six thousand, nine hundred seventy-two".