496140120 has 512 divisors, whose sum is σ = 2045952000. Its totient is φ = 104509440.

The previous prime is 496140109. The next prime is 496140137. The reversal of 496140120 is 21041694.

496140120 is a `hidden beast` number, since 49 + 614 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×496140120² = 492310037347228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6796404 + ... + 6796476.

It is an arithmetic number, because the mean of its divisors is an integer number (3996000).

Almost surely, 2^496140120 is an apocalyptic number.

496140120 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 496140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022976000).

496140120 is an abundant number, since it is smaller than the sum of its proper divisors (1549811880).

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

496140120 is a wasteful number, since it uses less digits than its factorization.

496140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 496140120 is about 22274.2030160453. The cubic root of 496140120 is about 791.6528552100.

The spelling of 496140120 in words is "four hundred ninety-six million, one hundred forty thousand, one hundred twenty".