462640464 has 160 divisors (see below), whose sum is σ = 1560316800. Its totient is φ = 129392640.

The previous prime is 462640463. The next prime is 462640471. The reversal of 462640464 is 464046264.

It is a happy number.

462640464 is a `hidden beast` number, since 4 + 6 + 2 + 640 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462640463) 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, 58032 + ... + 65520.

It is an arithmetic number, because the mean of its divisors is an integer number (9751980).

Almost surely, 2^462640464 is an apocalyptic number.

462640464 is a gapful number since it is divisible by the number (44) 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 462640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780158400).

462640464 is an abundant number, since it is smaller than the sum of its proper divisors (1097676336).

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

462640464 is a wasteful number, since it uses less digits than its factorization.

462640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 462640464 is about 21509.0786413551. The cubic root of 462640464 is about 773.4184682994.

The spelling of 462640464 in words is "four hundred sixty-two million, six hundred forty thousand, four hundred sixty-four".