264786480 has 240 divisors, whose sum is σ = 1027862784. Its totient is φ = 59834880.

The previous prime is 264786449. The next prime is 264786493. The reversal of 264786480 is 84687462.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×264786480² = 140223759981580800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 539035 + ... + 539525.

Almost surely, 2^264786480 is an apocalyptic number.

264786480 is a gapful number since it is divisible by the number (20) 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 264786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513931392).

264786480 is an abundant number, since it is smaller than the sum of its proper divisors (763076304).

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

264786480 is a wasteful number, since it uses less digits than its factorization.

264786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 264786480 is about 16272.2610598527. The cubic root of 264786480 is about 642.1432702058.

The spelling of 264786480 in words is "two hundred sixty-four million, seven hundred eighty-six thousand, four hundred eighty".