496472080 has 80 divisors (see below), whose sum is σ = 1316259504. Its totient is φ = 172523520.

The previous prime is 496472069. The next prime is 496472101. The reversal of 496472080 is 80274694.

It can be written as a sum of positive squares in 8 ways, for example, as 30603024 + 465869056 = 5532^2 + 21584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640 + ... + 31720.

Almost surely, 2^496472080 is an apocalyptic number.

496472080 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 496472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658129752).

496472080 is an abundant number, since it is smaller than the sum of its proper divisors (819787424).

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

496472080 is a wasteful number, since it uses less digits than its factorization.

496472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28124 (or 28118 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 496472080 is about 22281.6534395453. The cubic root of 496472080 is about 791.8293769100.

The spelling of 496472080 in words is "four hundred ninety-six million, four hundred seventy-two thousand, eighty".