496143360 has 352 divisors, whose sum is σ = 1829526720. Its totient is φ = 127401984.

The previous prime is 496143353. The next prime is 496143391. The reversal of 496143360 is 63341694.

496143360 is a `hidden beast` number, since 4 + 9 + 614 + 3 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5114832 + ... + 5114928.

Almost surely, 2^496143360 is an apocalyptic number.

496143360 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 496143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914763360).

496143360 is an abundant number, since it is smaller than the sum of its proper divisors (1333383360).

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

496143360 is a wasteful number, since it uses less digits than its factorization.

496143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 496143360 is about 22274.2757458015. The cubic root of 496143360 is about 791.6545784796.

The spelling of 496143360 in words is "four hundred ninety-six million, one hundred forty-three thousand, three hundred sixty".