464716980 has 384 divisors, whose sum is σ = 1825152000. Its totient is φ = 97542144.

The previous prime is 464716979. The next prime is 464716999. The reversal of 464716980 is 89617464.

464716980 is a `hidden beast` number, since 46 + 471 + 69 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2407764 + ... + 2407956.

It is an arithmetic number, because the mean of its divisors is an integer number (4753000).

Almost surely, 2^464716980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464716980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912576000).

464716980 is an abundant number, since it is smaller than the sum of its proper divisors (1360435020).

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

464716980 is a wasteful number, since it uses less digits than its factorization.

464716980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 464716980 is about 21557.2952848914. The cubic root of 464716980 is about 774.5738788238.

The spelling of 464716980 in words is "four hundred sixty-four million, seven hundred sixteen thousand, nine hundred eighty".