482493312 has 96 divisors (see below), whose sum is σ = 1586797680. Its totient is φ = 137852928.

The previous prime is 482493311. The next prime is 482493317. The reversal of 482493312 is 213394284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×482493312² = 465599592249458688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482493311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21853 + ... + 37980.

Almost surely, 2^482493312 is an apocalyptic number.

482493312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

482493312 is an abundant number, since it is smaller than the sum of its proper divisors (1104304368).

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

482493312 is a wasteful number, since it uses less digits than its factorization.

482493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59860 (or 59845 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 482493312 is about 21965.7303998752. The cubic root of 482493312 is about 784.3268802128.

The spelling of 482493312 in words is "four hundred eighty-two million, four hundred ninety-three thousand, three hundred twelve".