245009664 has 72 divisors (see below), whose sum is σ = 724557120. Its totient is φ = 81667584.

The previous prime is 245009663. The next prime is 245009669. The reversal of 245009664 is 466900542.

245009664 is a `hidden beast` number, since 2 + 4 + 500 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245009663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10812 + ... + 24635.

Almost surely, 2^245009664 is an apocalyptic number.

245009664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245009664 is an abundant number, since it is smaller than the sum of its proper divisors (479547456).

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

245009664 is an equidigital number, since it uses as much as digits as its factorization.

245009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35472 (or 35452 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 245009664 is about 15652.7845446106. The cubic root of 245009664 is about 625.7407017773.

The spelling of 245009664 in words is "two hundred forty-five million, nine thousand, six hundred sixty-four".