462264756 has 96 divisors (see below), whose sum is σ = 1184870400. Its totient is φ = 139708800.

The previous prime is 462264743. The next prime is 462264757. The reversal of 462264756 is 657462264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462264757) 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, 998181 + ... + 998643.

It is an arithmetic number, because the mean of its divisors is an integer number (12342400).

Almost surely, 2^462264756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462264756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592435200).

462264756 is an abundant number, since it is smaller than the sum of its proper divisors (722605644).

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

462264756 is a wasteful number, since it uses less digits than its factorization.

462264756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 462264756 is about 21500.3431600521. The cubic root of 462264756 is about 773.2090485135.

It can be divided in two parts, 4622 and 64756, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 462264756 in words is "four hundred sixty-two million, two hundred sixty-four thousand, seven hundred fifty-six".