462640752 has 180 divisors, whose sum is σ = 1518842520. Its totient is φ = 131072256.

The previous prime is 462640729. The next prime is 462640769. The reversal of 462640752 is 257046264.

462640752 is a `hidden beast` number, since 4 + 6 + 2 + 640 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×462640752² = 428072930822251008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1220499 + ... + 1220877.

It is an arithmetic number, because the mean of its divisors is an integer number (8438014).

Almost surely, 2^462640752 is an apocalyptic number.

462640752 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 462640752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759421260).

462640752 is an abundant number, since it is smaller than the sum of its proper divisors (1056201768).

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

462640752 is a wasteful number, since it uses less digits than its factorization.

462640752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

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

The square root of 462640752 is about 21509.0853362015. The cubic root of 462640752 is about 773.4186287872.

The spelling of 462640752 in words is "four hundred sixty-two million, six hundred forty thousand, seven hundred fifty-two".