496641600 has 504 divisors, whose sum is σ = 2178263360. Its totient is φ = 104509440.

The previous prime is 496641581. The next prime is 496641601. The reversal of 496641600 is 6146694.

496641600 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (496641601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310211 + ... + 1310589.

Almost surely, 2^496641600 is an apocalyptic number.

496641600 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 496641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089131680).

496641600 is an abundant number, since it is smaller than the sum of its proper divisors (1681621760).

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

496641600 is a wasteful number, since it uses less digits than its factorization.

496641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

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

The square root of 496641600 is about 22285.4571413736. The cubic root of 496641600 is about 791.9194898265.

The spelling of 496641600 in words is "four hundred ninety-six million, six hundred forty-one thousand, six hundred".