456261348 has 48 divisors (see below), whose sum is σ = 1111380480. Its totient is φ = 145516800.

The previous prime is 456261329. The next prime is 456261349. The reversal of 456261348 is 843162654.

It is not an unprimeable number, because it can be changed into a prime (456261349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26218 + ... + 39998.

It is an arithmetic number, because the mean of its divisors is an integer number (23153760).

Almost surely, 2^456261348 is an apocalyptic number.

It is an amenable number.

456261348 is an abundant number, since it is smaller than the sum of its proper divisors (655119132).

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

456261348 is a wasteful number, since it uses less digits than its factorization.

456261348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13906 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 456261348 is about 21360.2749982298. The cubic root of 456261348 is about 769.8472446740.

The spelling of 456261348 in words is "four hundred fifty-six million, two hundred sixty-one thousand, three hundred forty-eight".