45361400 has 48 divisors (see below), whose sum is σ = 120535440. Its totient is φ = 15552000.

The previous prime is 45361391. The next prime is 45361429. The reversal of 45361400 is 416354.

It is a happy number.

It is a congruent number.

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, 14801 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (2511155).

Almost surely, 2^45361400 is an apocalyptic number.

45361400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45361400 is an abundant number, since it is smaller than the sum of its proper divisors (75174040).

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

45361400 is a wasteful number, since it uses less digits than its factorization.

45361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424 (or 32415 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 45361400 is about 6735.0872303186. The cubic root of 45361400 is about 356.6389862157.

Adding to 45361400 its reverse (416354), we get a palindrome (45777754).

It can be divided in two parts, 4536 and 1400, that multiplied together give a square (6350400 = 2520²).

The spelling of 45361400 in words is "forty-five million, three hundred sixty-one thousand, four hundred".