45279600 has 120 divisors (see below), whose sum is σ = 146917680. Its totient is φ = 11919360.

The previous prime is 45279587. The next prime is 45279631. The reversal of 45279600 is 697254.

45279600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116206 + ... + 116594.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^45279600 is an apocalyptic number.

45279600 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 45279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

45279600 is an abundant number, since it is smaller than the sum of its proper divisors (101638080).

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

45279600 is a wasteful number, since it uses less digits than its factorization.

45279600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45279600 is about 6729.0118145237. The cubic root of 45279600 is about 356.4244820885.

The spelling of 45279600 in words is "forty-five million, two hundred seventy-nine thousand, six hundred".