45813600 has 360 divisors, whose sum is σ = 192831408. Its totient is φ = 10368000.

The previous prime is 45813587. The next prime is 45813613. The reversal of 45813600 is 631854.

45813600 is a `hidden beast` number, since 4 + 58 + 1 + 3 + 600 = 666.

45813600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45813587) and next prime (45813613).

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 453550 + ... + 453650.

Almost surely, 2^45813600 is an apocalyptic number.

45813600 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 45813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96415704).

45813600 is an abundant number, since it is smaller than the sum of its proper divisors (147017808).

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

45813600 is a wasteful number, since it uses less digits than its factorization.

45813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45813600 is about 6768.5744437067. The cubic root of 45813600 is about 357.8201608105.

The spelling of 45813600 in words is "forty-five million, eight hundred thirteen thousand, six hundred".