464690257920 has 1344 divisors, whose sum is σ = 1964123006976. Its totient is φ = 99373547520.

The previous prime is 464690257903. The next prime is 464690257939. The reversal of 464690257920 is 29752096464.

464690257920 is a `hidden beast` number, since 4 + 6 + 4 + 69 + 0 + 2 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×464690257920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2959810482 + ... + 2959810638.

Almost surely, 2^464690257920 is an apocalyptic number.

464690257920 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 464690257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982061503488).

464690257920 is an abundant number, since it is smaller than the sum of its proper divisors (1499432749056).

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

464690257920 is a wasteful number, since it uses less digits than its factorization.

464690257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 464690257920 in words is "four hundred sixty-four billion, six hundred ninety million, two hundred fifty-seven thousand, nine hundred twenty".