464940232724160 has 336 divisors, whose sum is σ = 1665932671054080. Its totient is φ = 118883797770240.

The previous prime is 464940232724131. The next prime is 464940232724221. The reversal of 464940232724160 is 61427232049464.

464940232724160 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 402 + 3 + 2 + 72 + 4 + 160 = 666.

It is a super-2 number, since 2×464940232724160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464940232724097 and 464940232724106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14156847 + ... + 33619886.

Almost surely, 2^{464940232724160} is an apocalyptic number.

464940232724160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464940232724160 is an abundant number, since it is smaller than the sum of its proper divisors (1200992438329920).

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

464940232724160 is a wasteful number, since it uses less digits than its factorization.

464940232724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47776896 (or 47776883 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 464940232724160 in words is "four hundred sixty-four trillion, nine hundred forty billion, two hundred thirty-two million, seven hundred twenty-four thousand, one hundred sixty".