264452040 has 128 divisors (see below), whose sum is σ = 892684800. Its totient is φ = 70497216.

The previous prime is 264452039. The next prime is 264452047. The reversal of 264452040 is 40254462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 264451995 and 264452013.

It is not an unprimeable number, because it can be changed into a prime (264452047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85969 + ... + 88991.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2^264452040 is an apocalyptic number.

264452040 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 264452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446342400).

264452040 is an abundant number, since it is smaller than the sum of its proper divisors (628232760).

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

264452040 is an equidigital number, since it uses as much as digits as its factorization.

264452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 264452040 is about 16261.9814290879. The cubic root of 264452040 is about 641.8728021214.

The spelling of 264452040 in words is "two hundred sixty-four million, four hundred fifty-two thousand, forty".