497664000 has 360 divisors, whose sum is σ = 1860641328. Its totient is φ = 132710400.

The previous prime is 497663993. The next prime is 497664019. The reversal of 497664000 is 466794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 5! ⋅ (2!)³.

497664000 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99532798 + ... + 99532802.

Almost surely, 2^497664000 is an apocalyptic number.

497664000 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 497664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930320664).

497664000 is an abundant number, since it is smaller than the sum of its proper divisors (1362977328).

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

497664000 is an frugal number, since it uses more digits than its factorization.

497664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 497664000 is about 22308.3840741547. The cubic root of 497664000 is about 792.4625397347.

497664000 divided by its sum of digits (36) gives a cube (13824000 = 240³).

The spelling of 497664000 in words is "four hundred ninety-seven million, six hundred sixty-four thousand".