45253520 has 80 divisors (see below), whose sum is σ = 115586352. Its totient is φ = 16373760.

The previous prime is 45253519. The next prime is 45253547. The reversal of 45253520 is 2535254.

It can be written as a sum of positive squares in 8 ways, for example, as 3211264 + 42042256 = 1792^2 + 6484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 45253520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54710 + ... + 55530.

Almost surely, 2^45253520 is an apocalyptic number.

45253520 is a gapful number since it is divisible by the number (40) 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 45253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57793176).

45253520 is an abundant number, since it is smaller than the sum of its proper divisors (70332832).

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

45253520 is a wasteful number, since it uses less digits than its factorization.

45253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 45253520 is about 6727.0736579883. The cubic root of 45253520 is about 356.3560381995.

Adding to 45253520 its reverse (2535254), we get a palindrome (47788774).

The spelling of 45253520 in words is "forty-five million, two hundred fifty-three thousand, five hundred twenty".