496900404 has 144 divisors (see below), whose sum is σ = 1686572160. Its totient is φ = 119128320.

The previous prime is 496900379. The next prime is 496900409. The reversal of 496900404 is 404009694.

It is a super-2 number, since 2×496900404² = 493820022990726432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496900409) 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, 29142 + ... + 42930.

Almost surely, 2^496900404 is an apocalyptic number.

496900404 is a gapful number since it is divisible by the number (44) 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 496900404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843286080).

496900404 is an abundant number, since it is smaller than the sum of its proper divisors (1189671756).

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

496900404 is a wasteful number, since it uses less digits than its factorization.

496900404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 496900404 is about 22291.2629521075. The cubic root of 496900404 is about 792.0570245136.

The spelling of 496900404 in words is "four hundred ninety-six million, nine hundred thousand, four hundred four".