45599400 has 432 divisors, whose sum is σ = 198469440. Its totient is φ = 9273600.

The previous prime is 45599399. The next prime is 45599401. The reversal of 45599400 is 499554.

It is an interprime number because it is at equal distance from previous prime (45599399) and next prime (45599401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45599401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970177 + ... + 970223.

It is an arithmetic number, because the mean of its divisors is an integer number (459420).

Almost surely, 2^45599400 is an apocalyptic number.

45599400 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 45599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

45599400 is an abundant number, since it is smaller than the sum of its proper divisors (152870040).

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

45599400 is a wasteful number, since it uses less digits than its factorization.

45599400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45599400 is about 6752.7327801417. The cubic root of 45599400 is about 357.2616305909.

The spelling of 45599400 in words is "forty-five million, five hundred ninety-nine thousand, four hundred".