496020672 has 140 divisors (see below), whose sum is σ = 1680535120. Its totient is φ = 141709824.

The previous prime is 496020659. The next prime is 496020689. The reversal of 496020672 is 276020694.

It is a happy number.

496020672 is a `hidden beast` number, since 49 + 602 + 0 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29454 + ... + 43122.

Almost surely, 2^496020672 is an apocalyptic number.

496020672 is a gapful number since it is divisible by the number (42) 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 496020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840267560).

496020672 is an abundant number, since it is smaller than the sum of its proper divisors (1184514448).

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

496020672 is a wasteful number, since it uses less digits than its factorization.

496020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 496020672 is about 22271.5215465850. The cubic root of 496020672 is about 791.5893187639.

The spelling of 496020672 in words is "four hundred ninety-six million, twenty thousand, six hundred seventy-two".