464280905088 has 1152 divisors, whose sum is σ = 1845621741600. Its totient is φ = 110114242560.

The previous prime is 464280905017. The next prime is 464280905111. The reversal of 464280905088 is 880509082464.

464280905088 is a `hidden beast` number, since 4 + 6 + 42 + 8 + 0 + 90 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 912142978 + ... + 912143486.

Almost surely, 2^464280905088 is an apocalyptic number.

464280905088 is a gapful number since it is divisible by the number (48) 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 464280905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922810870800).

464280905088 is an abundant number, since it is smaller than the sum of its proper divisors (1381340836512).

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

464280905088 is a wasteful number, since it uses less digits than its factorization.

464280905088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 464280905088 in words is "four hundred sixty-four billion, two hundred eighty million, nine hundred five thousand, eighty-eight".