464238099360 has 960 divisors, whose sum is σ = 1942370648064. Its totient is φ = 102182860800.

The previous prime is 464238099359. The next prime is 464238099397. The reversal of 464238099360 is 63990832464.

464238099360 is a `hidden beast` number, since 46 + 4 + 238 + 0 + 9 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 464238099297 and 464238099306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1077118345 + ... + 1077118775.

Almost surely, 2^464238099360 is an apocalyptic number.

464238099360 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 464238099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971185324032).

464238099360 is an abundant number, since it is smaller than the sum of its proper divisors (1478132548704).

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

464238099360 is a wasteful number, since it uses less digits than its factorization.

464238099360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 464238099360 in words is "four hundred sixty-four billion, two hundred thirty-eight million, ninety-nine thousand, three hundred sixty".