45395280 has 120 divisors (see below), whose sum is σ = 174250752. Its totient is φ = 10374912.

The previous prime is 45395243. The next prime is 45395297. The reversal of 45395280 is 8259354.

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 (36).

It is a congruent number.

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, 537 + ... + 9543.

Almost surely, 2^45395280 is an apocalyptic number.

45395280 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 45395280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87125376).

45395280 is an abundant number, since it is smaller than the sum of its proper divisors (128855472).

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

45395280 is a wasteful number, since it uses less digits than its factorization.

45395280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45395280 is about 6737.6019472806. The cubic root of 45395280 is about 356.7277542129.

The spelling of 45395280 in words is "forty-five million, three hundred ninety-five thousand, two hundred eighty".