498617600 has 162 divisors, whose sum is σ = 1339293186. Its totient is φ = 183705600.

The previous prime is 498617591. The next prime is 498617617. The reversal of 498617600 is 6716894.

It can be written as a sum of positive squares in 9 ways, for example, as 360696064 + 137921536 = 18992^2 + 11744^2 .

It is a super-2 number, since 2×498617600² = 497239022059520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1081370 + ... + 1081830.

Almost surely, 2^498617600 is an apocalyptic number.

498617600 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 498617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669646593).

498617600 is an abundant number, since it is smaller than the sum of its proper divisors (840675586).

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

498617600 is a wasteful number, since it uses less digits than its factorization.

498617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 498617600 is about 22329.7469757272. The cubic root of 498617600 is about 792.9683764152.

The spelling of 498617600 in words is "four hundred ninety-eight million, six hundred seventeen thousand, six hundred".