464268480 has 112 divisors (see below), whose sum is σ = 1587483744. Its totient is φ = 114278400.

The previous prime is 464268457. The next prime is 464268529. The reversal of 464268480 is 84862464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121 + ... + 31080.

It is an arithmetic number, because the mean of its divisors is an integer number (14173962).

Almost surely, 2^464268480 is an apocalyptic number.

464268480 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 464268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793741872).

464268480 is an abundant number, since it is smaller than the sum of its proper divisors (1123215264).

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

464268480 is a wasteful number, since it uses less digits than its factorization.

464268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37234 (or 37224 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 464268480 is about 21546.8902628662. The cubic root of 464268480 is about 774.3246172894.

The spelling of 464268480 in words is "four hundred sixty-four million, two hundred sixty-eight thousand, four hundred eighty".