497952000 has 864 divisors, whose sum is σ = 2321329920. Its totient is φ = 99532800.

The previous prime is 497951983. The next prime is 497952041. The reversal of 497952000 is 259794.

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 95 ways as a sum of consecutive naturals, for example, 26207991 + ... + 26208009.

Almost surely, 2^497952000 is an apocalyptic number.

497952000 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 497952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160664960).

497952000 is an abundant number, since it is smaller than the sum of its proper divisors (1823377920).

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

497952000 is a wasteful number, since it uses less digits than its factorization.

497952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 497952000 is about 22314.8381127894. The cubic root of 497952000 is about 792.6153772582.

The spelling of 497952000 in words is "four hundred ninety-seven million, nine hundred fifty-two thousand".