45762300 has 144 divisors (see below), whose sum is σ = 155927520. Its totient is φ = 11473920.

The previous prime is 45762281. The next prime is 45762307. The reversal of 45762300 is 326754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45762307) 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, 45402 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (1082830).

Almost surely, 2^45762300 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 45762300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77963760).

45762300 is an abundant number, since it is smaller than the sum of its proper divisors (110165220).

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

45762300 is a wasteful number, since it uses less digits than its factorization.

45762300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45762300 is about 6764.7838102928. The cubic root of 45762300 is about 357.6865539777.

The spelling of 45762300 in words is "forty-five million, seven hundred sixty-two thousand, three hundred".