464642640 has 720 divisors, whose sum is σ = 2137898880. Its totient is φ = 87736320.

The previous prime is 464642621. The next prime is 464642671. The reversal of 464642640 is 46246464.

It is a happy number.

464642640 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 464642595 and 464642604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16022146 + ... + 16022174.

It is an arithmetic number, because the mean of its divisors is an integer number (2969304).

Almost surely, 2^464642640 is an apocalyptic number.

464642640 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 464642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068949440).

464642640 is an abundant number, since it is smaller than the sum of its proper divisors (1673256240).

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

464642640 is a wasteful number, since it uses less digits than its factorization.

464642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

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

The square root of 464642640 is about 21555.5709736486. The cubic root of 464642640 is about 774.5325741908.

The spelling of 464642640 in words is "four hundred sixty-four million, six hundred forty-two thousand, six hundred forty".