264401280 has 512 divisors, whose sum is σ = 1110412800. Its totient is φ = 58613760.

The previous prime is 264401279. The next prime is 264401287. The reversal of 264401280 is 82104462.

264401280 is a `hidden beast` number, since 2 + 644 + 0 + 12 + 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 (264401287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470987 + ... + 2471093.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^264401280 is an apocalyptic number.

264401280 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 264401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

264401280 is an abundant number, since it is smaller than the sum of its proper divisors (846011520).

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

264401280 is a wasteful number, since it uses less digits than its factorization.

264401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

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

The square root of 264401280 is about 16260.4206587653. The cubic root of 264401280 is about 641.8317316016.

The spelling of 264401280 in words is "two hundred sixty-four million, four hundred one thousand, two hundred eighty".