45436080 has 120 divisors (see below), whose sum is σ = 146280816. Its totient is φ = 11665920.

The previous prime is 45436031. The next prime is 45436091. The reversal of 45436080 is 8063454.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 230542 + ... + 230738.

Almost surely, 2^45436080 is an apocalyptic number.

45436080 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 45436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73140408).

45436080 is an abundant number, since it is smaller than the sum of its proper divisors (100844736).

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

45436080 is a wasteful number, since it uses less digits than its factorization.

45436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45436080 is about 6740.6290507637. The cubic root of 45436080 is about 356.8345944994.

The spelling of 45436080 in words is "forty-five million, four hundred thirty-six thousand, eighty".