45697600 has 105 divisors (see below), whose sum is σ = 121814717. Its totient is φ = 16872960.

The previous prime is 45697579. The next prime is 45697609. The reversal of 45697600 is 679654.

The square root of 45697600 is 6760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 44836416 + 861184 = 6696^2 + 928^2 .

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 45697600.

It is not an unprimeable number, because it can be changed into a prime (45697609) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3515194 + ... + 3515206.

Almost surely, 2^45697600 is an apocalyptic number.

45697600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45697600 is the 6760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45697600

45697600 is an abundant number, since it is smaller than the sum of its proper divisors (76117117).

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

45697600 is an frugal number, since it uses more digits than its factorization.

45697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 45697600 is about 357.5179054393.

The spelling of 45697600 in words is "forty-five million, six hundred ninety-seven thousand, six hundred".