45892300 has 36 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 18181120.

The previous prime is 45892271. The next prime is 45892303. The reversal of 45892300 is 329854.

It is a super-2 number, since 2×45892300² = 4212206398580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45892303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8556 + ... + 12844.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^45892300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45892300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270220).

45892300 is an abundant number, since it is smaller than the sum of its proper divisors (54648140).

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

45892300 is a wasteful number, since it uses less digits than its factorization.

45892300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 45892300 is about 6774.3855809955. The cubic root of 45892300 is about 358.0249350629.

It can be divided in two parts, 4589 and 2300, that added together give a square (6889 = 83²).

The spelling of 45892300 in words is "forty-five million, eight hundred ninety-two thousand, three hundred".