245902464 has 96 divisors (see below), whose sum is σ = 714249900. Its totient is φ = 81199104.

The previous prime is 245902439. The next prime is 245902477. The reversal of 245902464 is 464209542.

245902464 is a `hidden beast` number, since 2 + 4 + 590 + 2 + 4 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219276864 + 26625600 = 14808^2 + 5160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129232 + ... + 131120.

Almost surely, 2^245902464 is an apocalyptic number.

245902464 is a gapful number since it is divisible by the number (24) 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 245902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357124950).

245902464 is an abundant number, since it is smaller than the sum of its proper divisors (468347436).

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

245902464 is a wasteful number, since it uses less digits than its factorization.

245902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 245902464 is about 15681.2774989795. The cubic root of 245902464 is about 626.4998338650.

The spelling of 245902464 in words is "two hundred forty-five million, nine hundred two thousand, four hundred sixty-four".