462072513 has 16 divisors (see below), whose sum is σ = 704524160. Its totient is φ = 263886336.

The previous prime is 462072511. The next prime is 462072517. The reversal of 462072513 is 315270264.

It is not a de Polignac number, because 462072513 - 2¹ = 462072511 is a prime.

It is a super-2 number, since 2×462072513² = 427022014540270338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (462072511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36903 + ... + 47811.

It is an arithmetic number, because the mean of its divisors is an integer number (44032760).

Almost surely, 2^462072513 is an apocalyptic number.

It is an amenable number.

462072513 is a deficient number, since it is larger than the sum of its proper divisors (242451647).

462072513 is a wasteful number, since it uses less digits than its factorization.

462072513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 462072513 is about 21495.8719990607. The cubic root of 462072513 is about 773.1018483029.

The spelling of 462072513 in words is "four hundred sixty-two million, seventy-two thousand, five hundred thirteen".