45097920 has 168 divisors, whose sum is σ = 177357024. Its totient is φ = 10303488.

The previous prime is 45097907. The next prime is 45097933. The reversal of 45097920 is 2979054.

It is an interprime number because it is at equal distance from previous prime (45097907) and next prime (45097933).

It is a tau number, because it is divible by the number of its divisors (168).

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, 19042 + ... + 21278.

Almost surely, 2^45097920 is an apocalyptic number.

45097920 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 45097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88678512).

45097920 is an abundant number, since it is smaller than the sum of its proper divisors (132259104).

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

45097920 is a wasteful number, since it uses less digits than its factorization.

45097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 45097920 is about 6715.4984922938. The cubic root of 45097920 is about 355.9471368714.

The spelling of 45097920 in words is "forty-five million, ninety-seven thousand, nine hundred twenty".