45053460 has 72 divisors (see below), whose sum is σ = 137384520. Its totient is φ = 11950848.

The previous prime is 45053431. The next prime is 45053467. The reversal of 45053460 is 6435054.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 16793604 = 5316^2 + 4098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45053467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40674 + ... + 41766.

Almost surely, 2^45053460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45053460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68692260).

45053460 is an abundant number, since it is smaller than the sum of its proper divisors (92331060).

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

45053460 is a wasteful number, since it uses less digits than its factorization.

45053460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45053460 is about 6712.1874228898. The cubic root of 45053460 is about 355.8301276829.

The spelling of 45053460 in words is "forty-five million, fifty-three thousand, four hundred sixty".