45203760 has 120 divisors (see below), whose sum is σ = 173515680. Its totient is φ = 10331136.

The previous prime is 45203759. The next prime is 45203789. The reversal of 45203760 is 6730254.

45203760 = 1173² + 1174² + ... + 1204².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (1445964).

Almost surely, 2^45203760 is an apocalyptic number.

45203760 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 45203760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86757840).

45203760 is an abundant number, since it is smaller than the sum of its proper divisors (128311920).

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

45203760 is a wasteful number, since it uses less digits than its factorization.

45203760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45203760 is about 6723.3741529086. The cubic root of 45203760 is about 356.2253759527.

The spelling of 45203760 in words is "forty-five million, two hundred three thousand, seven hundred sixty".