497102400 has 336 divisors, whose sum is σ = 1867082880. Its totient is φ = 128563200.

The previous prime is 497102371. The next prime is 497102401. The reversal of 497102400 is 4201794.

It is a happy number.

It is a super-2 number, since 2×497102400² = 494221592171520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (497102401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598245 + ... + 1598555.

Almost surely, 2^497102400 is an apocalyptic number.

497102400 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 497102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933541440).

497102400 is an abundant number, since it is smaller than the sum of its proper divisors (1369980480).

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

497102400 is a wasteful number, since it uses less digits than its factorization.

497102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 497102400 is about 22295.7933251993. The cubic root of 497102400 is about 792.1643368809.

The spelling of 497102400 in words is "four hundred ninety-seven million, one hundred two thousand, four hundred".