497581920 has 384 divisors, whose sum is σ = 1958100480. Its totient is φ = 116951040.

The previous prime is 497581901. The next prime is 497581921. The reversal of 497581920 is 29185794.

497581920 is a `hidden beast` number, since 49 + 7 + 581 + 9 + 20 = 666.

It is a super-2 number, since 2×497581920² = 495175534221772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497581921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758099 + ... + 1758381.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2^497581920 is an apocalyptic number.

497581920 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 497581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979050240).

497581920 is an abundant number, since it is smaller than the sum of its proper divisors (1460518560).

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

497581920 is a wasteful number, since it uses less digits than its factorization.

497581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 497581920 is about 22306.5443312047. The cubic root of 497581920 is about 792.4189702437.

It can be divided in two parts, 497581 and 920, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 497581920 in words is "four hundred ninety-seven million, five hundred eighty-one thousand, nine hundred twenty".