45699400 has 48 divisors (see below), whose sum is σ = 112509540. Its totient is φ = 17203200.

The previous prime is 45699397. The next prime is 45699419. The reversal of 45699400 is 499654.

It can be written as a sum of positive squares in 6 ways, for example, as 14092516 + 31606884 = 3754^2 + 5622^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45699400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321 + ... + 10120.

Almost surely, 2^45699400 is an apocalyptic number.

45699400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45699400 is an abundant number, since it is smaller than the sum of its proper divisors (66810140).

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

45699400 is a wasteful number, since it uses less digits than its factorization.

45699400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 45699400 is about 6760.1331347837. The cubic root of 45699400 is about 357.5225995135.

It can be divided in two parts, 456 and 99400, that added together give a square (99856 = 316²).

The spelling of 45699400 in words is "forty-five million, six hundred ninety-nine thousand, four hundred".