492149520 has 200 divisors, whose sum is σ = 1742774616. Its totient is φ = 128673792.

The previous prime is 492149461. The next prime is 492149563. The reversal of 492149520 is 25941294.

492149520 is a `hidden beast` number, since 4 + 92 + 1 + 49 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164249856 + 327899664 = 12816^2 + 18108^2 .

It is a super-2 number, since 2×492149520² = 484422300072460800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342724 + ... + 344156.

Almost surely, 2^492149520 is an apocalyptic number.

492149520 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 492149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871387308).

492149520 is an abundant number, since it is smaller than the sum of its proper divisors (1250625096).

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

492149520 is a wasteful number, since it uses less digits than its factorization.

492149520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 492149520 is about 22184.4431978808. The cubic root of 492149520 is about 789.5246405846.

The spelling of 492149520 in words is "four hundred ninety-two million, one hundred forty-nine thousand, five hundred twenty".