264415540 has 24 divisors (see below), whose sum is σ = 556738560. Its totient is φ = 105487008.

The previous prime is 264415493. The next prime is 264415553. The reversal of 264415540 is 45514462.

It is a happy number.

264415540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9600 + ... + 24919.

It is an arithmetic number, because the mean of its divisors is an integer number (23197440).

Almost surely, 2^264415540 is an apocalyptic number.

264415540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264415540 is an abundant number, since it is smaller than the sum of its proper divisors (292323020).

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

264415540 is a wasteful number, since it uses less digits than its factorization.

264415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34911 (or 34909 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 264415540 is about 16260.8591408941. The cubic root of 264415540 is about 641.8432700681.

The spelling of 264415540 in words is "two hundred sixty-four million, four hundred fifteen thousand, five hundred forty".