496398400 has 63 divisors (see below), whose sum is σ = 1223647159. Its totient is φ = 198202880.

The previous prime is 496398323. The next prime is 496398403. The reversal of 496398400 is 4893694.

The square root of 496398400 is 22280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 170668096 + 325730304 = 13064^2 + 18048^2 .

It is a super-2 number, since 2×496398400² = 492822743045120000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496398403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 890922 + ... + 891478.

Almost surely, 2^496398400 is an apocalyptic number.

496398400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

496398400 is the 22280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496398400

496398400 is an abundant number, since it is smaller than the sum of its proper divisors (727248759).

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

496398400 is an frugal number, since it uses more digits than its factorization.

496398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The cubic root of 496398400 is about 791.7902039285.

Multiplying 496398400 by its product of nonzero digits (186624), we get a square (92639855001600 = 9624960²).

The spelling of 496398400 in words is "four hundred ninety-six million, three hundred ninety-eight thousand, four hundred".