464401080 has 512 divisors, whose sum is σ = 1896652800. Its totient is φ = 99532800.

The previous prime is 464401051. The next prime is 464401081. The reversal of 464401080 is 80104464.

464401080 is a `hidden beast` number, since 4 + 644 + 0 + 10 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464401081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4787592 + ... + 4787688.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^464401080 is an apocalyptic number.

464401080 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 464401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948326400).

464401080 is an abundant number, since it is smaller than the sum of its proper divisors (1432251720).

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

464401080 is a wasteful number, since it uses less digits than its factorization.

464401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 464401080 is about 21549.9670533391. The cubic root of 464401080 is about 774.3983287123.

The spelling of 464401080 in words is "four hundred sixty-four million, four hundred one thousand, eighty".