496090080 has 144 divisors (see below), whose sum is σ = 1738848384. Its totient is φ = 128701440.

The previous prime is 496090031. The next prime is 496090093. The reversal of 496090080 is 80090694.

496090080 is a `hidden beast` number, since 49 + 609 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×496090080² = 492210734948812800, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48625 + ... + 57935.

It is an arithmetic number, because the mean of its divisors is an integer number (12075336).

Almost surely, 2^496090080 is an apocalyptic number.

496090080 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 496090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869424192).

496090080 is an abundant number, since it is smaller than the sum of its proper divisors (1242758304).

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

496090080 is a wasteful number, since it uses less digits than its factorization.

496090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 496090080 is about 22273.0797152078. The cubic root of 496090080 is about 791.6262393145.

The spelling of 496090080 in words is "four hundred ninety-six million, ninety thousand, eighty".