462220497424 has 45 divisors (see below), whose sum is σ = 1041807726381. Its totient is φ = 198086340480.

The previous prime is 462220497413. The next prime is 462220497463. The reversal of 462220497424 is 424794022264.

The square root of 462220497424 is 679868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442932843024 + 19287654400 = 665532^2 + 138880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19024164 + ... + 19048444.

Almost surely, 2^462220497424 is an apocalyptic number.

462220497424 is the 679868-th square number.

It is an amenable number.

462220497424 is an abundant number, since it is smaller than the sum of its proper divisors (579587228957).

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

462220497424 is an frugal number, since it uses more digits than its factorization.

462220497424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48584 (or 24290 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 462220497424 in words is "four hundred sixty-two billion, two hundred twenty million, four hundred ninety-seven thousand, four hundred twenty-four".