496629120 has 256 divisors, whose sum is σ = 1730393280. Its totient is φ = 120422400.

The previous prime is 496629097. The next prime is 496629127. The reversal of 496629120 is 21926694.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a cake number, because a cake can be divided into 496629120 parts by 1439 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496629127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520862 + ... + 2521058.

Almost surely, 2^496629120 is an apocalyptic number.

496629120 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 496629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865196640).

496629120 is an abundant number, since it is smaller than the sum of its proper divisors (1233764160).

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

496629120 is a wasteful number, since it uses less digits than its factorization.

496629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 496629120 is about 22285.1771363837. The cubic root of 496629120 is about 791.9128564460.

The spelling of 496629120 in words is "four hundred ninety-six million, six hundred twenty-nine thousand, one hundred twenty".