45257520 has 320 divisors, whose sum is σ = 182845440. Its totient is φ = 8985600.

The previous prime is 45257507. The next prime is 45257533. The reversal of 45257520 is 2575254.

It is an interprime number because it is at equal distance from previous prime (45257507) and next prime (45257533).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572841 + ... + 572919.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 2^45257520 is an apocalyptic number.

45257520 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 45257520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91422720).

45257520 is an abundant number, since it is smaller than the sum of its proper divisors (137587920).

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

45257520 is a wasteful number, since it uses less digits than its factorization.

45257520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 45257520 is about 6727.3709575138. The cubic root of 45257520 is about 356.3665374355.

The spelling of 45257520 in words is "forty-five million, two hundred fifty-seven thousand, five hundred twenty".