464345280 has 336 divisors, whose sum is σ = 1886736384. Its totient is φ = 102574080.

The previous prime is 464345269. The next prime is 464345369. The reversal of 464345280 is 82543464.

464345280 is a `hidden beast` number, since 4 + 643 + 4 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624589 + ... + 625331.

Almost surely, 2^464345280 is an apocalyptic number.

464345280 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 464345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943368192).

464345280 is an abundant number, since it is smaller than the sum of its proper divisors (1422391104).

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

464345280 is a wasteful number, since it uses less digits than its factorization.

464345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 464345280 is about 21548.6723488943. The cubic root of 464345280 is about 774.3673115883.

It can be divided in two parts, 464 and 345280, that added together give a square (345744 = 588²).

The spelling of 464345280 in words is "four hundred sixty-four million, three hundred forty-five thousand, two hundred eighty".