45264120 has 128 divisors (see below), whose sum is σ = 151165440. Its totient is φ = 10749440.

The previous prime is 45264119. The next prime is 45264127. The reversal of 45264120 is 2146254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45264127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69637 + ... + 70283.

It is an arithmetic number, because the mean of its divisors is an integer number (1180980).

Almost surely, 2^45264120 is an apocalyptic number.

45264120 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 45264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75582720).

45264120 is an abundant number, since it is smaller than the sum of its proper divisors (105901320).

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

45264120 is a wasteful number, since it uses less digits than its factorization.

45264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45264120 is about 6727.8614730091. The cubic root of 45264120 is about 356.3838598225.

It can be divided in two parts, 4526 and 4120, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 45264120 in words is "forty-five million, two hundred sixty-four thousand, one hundred twenty".