45120250 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 13780800.

The previous prime is 45120239. The next prime is 45120263. The reversal of 45120250 is 5202154.

45120250 is a nontrivial binomial coefficient, being equal to C(9500, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764721 + ... + 764779.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^45120250 is an apocalyptic number.

45120250 is the 9499-th triangular number and also the 4750-th hexagonal number.

45120250 is the 3167-th centered nonagonal number.

45120250 is an abundant number, since it is smaller than the sum of its proper divisors (62706950).

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

45120250 is a wasteful number, since it uses less digits than its factorization.

45120250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 45120250 is about 6717.1608585771. The cubic root of 45120250 is about 356.0058756342.

It can be divided in two parts, 45 and 120250, that added together give a triangular number (120295 = T₄₉₀).

The spelling of 45120250 in words is "forty-five million, one hundred twenty thousand, two hundred fifty".