464185680 has 160 divisors (see below), whose sum is σ = 1741388544. Its totient is φ = 99852288.

The previous prime is 464185619. The next prime is 464185699. The reversal of 464185680 is 86581464.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

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, 20434 + ... + 36686.

Almost surely, 2^464185680 is an apocalyptic number.

464185680 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 464185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870694272).

464185680 is an abundant number, since it is smaller than the sum of its proper divisors (1277202864).

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

464185680 is a wasteful number, since it uses less digits than its factorization.

464185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 464185680 is about 21544.9687862387. The cubic root of 464185680 is about 774.2785822236.

The spelling of 464185680 in words is "four hundred sixty-four million, one hundred eighty-five thousand, six hundred eighty".