462537972 has 96 divisors (see below), whose sum is σ = 1367452800. Its totient is φ = 133940736.

The previous prime is 462537967. The next prime is 462537973. The reversal of 462537972 is 279735264.

462537972 is a `hidden beast` number, since 46 + 2 + 537 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462537973) 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, 14179 + ... + 33557.

It is an arithmetic number, because the mean of its divisors is an integer number (14244300).

Almost surely, 2^462537972 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 462537972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683726400).

462537972 is an abundant number, since it is smaller than the sum of its proper divisors (904914828).

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

462537972 is a wasteful number, since it uses less digits than its factorization.

462537972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19422 (or 19414 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 462537972 is about 21506.6959805545. The cubic root of 462537972 is about 773.3613504680.

The spelling of 462537972 in words is "four hundred sixty-two million, five hundred thirty-seven thousand, nine hundred seventy-two".