496966000 has 40 divisors (see below), whose sum is σ = 1201668624. Its totient is φ = 198785600.

The previous prime is 496965967. The next prime is 496966013. The reversal of 496966000 is 669694.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122242 + ... + 126241.

Almost surely, 2^496966000 is an apocalyptic number.

496966000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496966000 is an abundant number, since it is smaller than the sum of its proper divisors (704702624).

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

496966000 is a wasteful number, since it uses less digits than its factorization.

496966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248506 (or 248490 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 496966000 is about 22292.7342423490. The cubic root of 496966000 is about 792.0918762237.

It can be divided in two parts, 49696 and 6000, that added together give a square (55696 = 236²).

The spelling of 496966000 in words is "four hundred ninety-six million, nine hundred sixty-six thousand".