45407280 has 80 divisors (see below), whose sum is σ = 141892704. Its totient is φ = 12011520.

The previous prime is 45407279. The next prime is 45407287. The reversal of 45407280 is 8270454.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (45407287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32190 + ... + 33570.

Almost surely, 2^45407280 is an apocalyptic number.

45407280 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 45407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70946352).

45407280 is an abundant number, since it is smaller than the sum of its proper divisors (96485424).

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

45407280 is a wasteful number, since it uses less digits than its factorization.

45407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45407280 is about 6738.4924129957. The cubic root of 45407280 is about 356.7591844696.

The spelling of 45407280 in words is "forty-five million, four hundred seven thousand, two hundred eighty".