497334400 has 96 divisors (see below), whose sum is σ = 1245986100. Its totient is φ = 196116480.

The previous prime is 497334379. The next prime is 497334407. The reversal of 497334400 is 4433794.

It can be written as a sum of positive squares in 6 ways, for example, as 135117376 + 362217024 = 11624^2 + 19032^2 .

It is not an unprimeable number, because it can be changed into a prime (497334407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232536 + ... + 234664.

Almost surely, 2^497334400 is an apocalyptic number.

497334400 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 497334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622993050).

497334400 is an abundant number, since it is smaller than the sum of its proper divisors (748651700).

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

497334400 is a wasteful number, since it uses less digits than its factorization.

497334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 497334400 is about 22300.9954934752. The cubic root of 497334400 is about 792.2875533067.

The spelling of 497334400 in words is "four hundred ninety-seven million, three hundred thirty-four thousand, four hundred".