45653200 has 60 divisors (see below), whose sum is σ = 115473760. Its totient is φ = 17297280.

The previous prime is 45653191. The next prime is 45653249. The reversal of 45653200 is 235654.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 4597 + ... + 10603.

Almost surely, 2^45653200 is an apocalyptic number.

45653200 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 45653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57736880).

45653200 is an abundant number, since it is smaller than the sum of its proper divisors (69820560).

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

45653200 is a wasteful number, since it uses less digits than its factorization.

45653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 45653200 is about 6756.7151782504. The cubic root of 45653200 is about 357.4020792340.

Adding to 45653200 its reverse (235654), we get a palindrome (45888854).

The spelling of 45653200 in words is "forty-five million, six hundred fifty-three thousand, two hundred".