45907120 has 100 divisors (see below), whose sum is σ = 125036640. Its totient is φ = 15673728.

The previous prime is 45907091. The next prime is 45907153. The reversal of 45907120 is 2170954.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191961 + ... + 192199.

Almost surely, 2^45907120 is an apocalyptic number.

45907120 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 45907120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518320).

45907120 is an abundant number, since it is smaller than the sum of its proper divisors (79129520).

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

45907120 is an equidigital number, since it uses as much as digits as its factorization.

45907120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 45907120 is about 6775.4793188379. The cubic root of 45907120 is about 358.0634699115.

The spelling of 45907120 in words is "forty-five million, nine hundred seven thousand, one hundred twenty".