462072465 has 32 divisors (see below), whose sum is σ = 843672960. Its totient is φ = 239775552.

The previous prime is 462072439. The next prime is 462072469. The reversal of 462072465 is 564270264.

462072465 is a `hidden beast` number, since 4 + 620 + 7 + 24 + 6 + 5 = 666.

It is not a de Polignac number, because 462072465 - 2⁸ = 462072209 is a prime.

It is a super-2 number, since 2×462072465² = 427021925822352450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (462072469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41259 + ... + 51248.

It is an arithmetic number, because the mean of its divisors is an integer number (26364780).

Almost surely, 2^462072465 is an apocalyptic number.

462072465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

462072465 is a deficient number, since it is larger than the sum of its proper divisors (381600495).

462072465 is a wasteful number, since it uses less digits than its factorization.

462072465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92558 (or 92552 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 462072465 is about 21495.8708825672. The cubic root of 462072465 is about 773.1018215330.

The spelling of 462072465 in words is "four hundred sixty-two million, seventy-two thousand, four hundred sixty-five".