45034960 has 40 divisors (see below), whose sum is σ = 105071400. Its totient is φ = 17951232.

The previous prime is 45034931. The next prime is 45034961. The reversal of 45034960 is 6943054.

It can be written as a sum of positive squares in 4 ways, for example, as 10601536 + 34433424 = 3256^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45034961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27114 + ... + 28726.

It is an arithmetic number, because the mean of its divisors is an integer number (2626785).

Almost surely, 2^45034960 is an apocalyptic number.

45034960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45034960 is an abundant number, since it is smaller than the sum of its proper divisors (60036440).

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

45034960 is a wasteful number, since it uses less digits than its factorization.

45034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 45034960 is about 6710.8091911483. The cubic root of 45034960 is about 355.7814169690.

The spelling of 45034960 in words is "forty-five million, thirty-four thousand, nine hundred sixty".