45257376 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 14217984.

The previous prime is 45257369. The next prime is 45257413. The reversal of 45257376 is 67375254.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227325 + ... + 227523.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^45257376 is an apocalyptic number.

45257376 is a gapful number since it is divisible by the number (46) 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 45257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

45257376 is an abundant number, since it is smaller than the sum of its proper divisors (80541024).

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

45257376 is a wasteful number, since it uses less digits than its factorization.

45257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 45257376 is about 6727.3602549588. The cubic root of 45257376 is about 356.3661594738.

It can be divided in two parts, 452 and 57376, that multiplied together give a palindrome (25933952).

The spelling of 45257376 in words is "forty-five million, two hundred fifty-seven thousand, three hundred seventy-six".