464057280 has 168 divisors, whose sum is σ = 1604772000. Its totient is φ = 123082752.

The previous prime is 464057257. The next prime is 464057281. The reversal of 464057280 is 82750464.

464057280 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 572 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464057281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774421 + ... + 775019.

Almost surely, 2^464057280 is an apocalyptic number.

464057280 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 464057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802386000).

464057280 is an abundant number, since it is smaller than the sum of its proper divisors (1140714720).

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

464057280 is a wasteful number, since it uses less digits than its factorization.

464057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 464057280 is about 21541.9887661283. The cubic root of 464057280 is about 774.2071836846.

The spelling of 464057280 in words is "four hundred sixty-four million, fifty-seven thousand, two hundred eighty".