45153360 has 360 divisors, whose sum is σ = 190035456. Its totient is φ = 9400320.

The previous prime is 45153337. The next prime is 45153401. The reversal of 45153360 is 6335154.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1456545 + ... + 1456575.

Almost surely, 2^45153360 is an apocalyptic number.

45153360 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 45153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95017728).

45153360 is an abundant number, since it is smaller than the sum of its proper divisors (144882096).

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

45153360 is a wasteful number, since it uses less digits than its factorization.

45153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45153360 is about 6719.6249895362. The cubic root of 45153360 is about 356.0929353798.

It can be divided in two parts, 4515 and 3360, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 45153360 in words is "forty-five million, one hundred fifty-three thousand, three hundred sixty".