492011520 has 512 divisors, whose sum is σ = 2113896960. Its totient is φ = 94371840.

The previous prime is 492011519. The next prime is 492011537. The reversal of 492011520 is 25110294.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1040 × 528 × 896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37847034 + ... + 37847046.

It is an arithmetic number, because the mean of its divisors is an integer number (4128705).

Almost surely, 2^492011520 is an apocalyptic number.

492011520 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 492011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056948480).

492011520 is an abundant number, since it is smaller than the sum of its proper divisors (1621885440).

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

492011520 is a wasteful number, since it uses less digits than its factorization.

492011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 492011520 is about 22181.3326921536. The cubic root of 492011520 is about 789.4508387682.

It can be divided in two parts, 49201 and 1520, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 492011520 in words is "four hundred ninety-two million, eleven thousand, five hundred twenty".