498732400 has 120 divisors (see below), whose sum is σ = 1287801504. Its totient is φ = 184934400.

The previous prime is 498732397. The next prime is 498732419. The reversal of 498732400 is 4237894.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 498732400.

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, 482284 + ... + 483316.

Almost surely, 2^498732400 is an apocalyptic number.

498732400 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 498732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643900752).

498732400 is an abundant number, since it is smaller than the sum of its proper divisors (789069104).

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

498732400 is a wasteful number, since it uses less digits than its factorization.

498732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 498732400 is about 22332.3173898277. The cubic root of 498732400 is about 793.0292285152.

The spelling of 498732400 in words is "four hundred ninety-eight million, seven hundred thirty-two thousand, four hundred".