45025920 has 96 divisors (see below), whose sum is σ = 155500020. Its totient is φ = 12005376.

The previous prime is 45025907. The next prime is 45025957. The reversal of 45025920 is 2952054.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 8156736 = 6072^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1852 + ... + 9668.

Almost surely, 2^45025920 is an apocalyptic number.

45025920 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 45025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77750010).

45025920 is an abundant number, since it is smaller than the sum of its proper divisors (110474100).

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

45025920 is a wasteful number, since it uses less digits than its factorization.

45025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45025920 is about 6710.1356171094. The cubic root of 45025920 is about 355.7576096925.

Adding to 45025920 its reverse (2952054), we get a palindrome (47977974).

The spelling of 45025920 in words is "forty-five million, twenty-five thousand, nine hundred twenty".