45356200 has 48 divisors (see below), whose sum is σ = 106003260. Its totient is φ = 18048000.

The previous prime is 45356177. The next prime is 45356231. The reversal of 45356200 is 265354.

It can be written as a sum of positive squares in 6 ways, for example, as 24980004 + 20376196 = 4998^2 + 4514^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47730 + ... + 48670.

Almost surely, 2^45356200 is an apocalyptic number.

45356200 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 45356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53001630).

45356200 is an abundant number, since it is smaller than the sum of its proper divisors (60647060).

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

45356200 is a wasteful number, since it uses less digits than its factorization.

45356200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 45356200 is about 6734.7011811958. The cubic root of 45356200 is about 356.6253579355.

The spelling of 45356200 in words is "forty-five million, three hundred fifty-six thousand, two hundred".