462490920 has 96 divisors (see below), whose sum is σ = 1516530600. Its totient is φ = 122228736.

The previous prime is 462490907. The next prime is 462490921. The reversal of 462490920 is 29094264.

462490920 is a `hidden beast` number, since 4 + 624 + 9 + 0 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246929796 + 215561124 = 15714^2 + 14682^2 .

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

It is not an unprimeable number, because it can be changed into a prime (462490921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34996 + ... + 46364.

Almost surely, 2^462490920 is an apocalyptic number.

462490920 is a gapful number since it is divisible by the number (40) 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 462490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758265300).

462490920 is an abundant number, since it is smaller than the sum of its proper divisors (1054039680).

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

462490920 is a wasteful number, since it uses less digits than its factorization.

462490920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 462490920 is about 21505.6020608585. The cubic root of 462490920 is about 773.3351260032.

The spelling of 462490920 in words is "four hundred sixty-two million, four hundred ninety thousand, nine hundred twenty".