262465120 has 48 divisors (see below), whose sum is σ = 634510800. Its totient is φ = 102541824.

The previous prime is 262465117. The next prime is 262465123. The reversal of 262465120 is 21564262.

262465120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (262465117) and next prime (262465123).

It is a super-2 number, since 2×262465120² = 137775878433228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262465123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12195 + ... + 25954.

It is an arithmetic number, because the mean of its divisors is an integer number (13218975).

Almost surely, 2^262465120 is an apocalyptic number.

262465120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262465120 is an abundant number, since it is smaller than the sum of its proper divisors (372045680).

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

262465120 is a wasteful number, since it uses less digits than its factorization.

262465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38207 (or 38199 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 262465120 is about 16200.7752900903. The cubic root of 262465120 is about 640.2612214907.

The spelling of 262465120 in words is "two hundred sixty-two million, four hundred sixty-five thousand, one hundred twenty".