45624700 has 144 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 15033600.

The previous prime is 45624697. The next prime is 45624701. The reversal of 45624700 is 742654.

It is a super-2 number, since 2×45624700² = 4163226500180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45624701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773271 + ... + 773329.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^45624700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45624700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

45624700 is an abundant number, since it is smaller than the sum of its proper divisors (73117700).

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

45624700 is a wasteful number, since it uses less digits than its factorization.

45624700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45624700 is about 6754.6058360203. The cubic root of 45624700 is about 357.3276917533.

The spelling of 45624700 in words is "forty-five million, six hundred twenty-four thousand, seven hundred".