45983700 has 180 divisors, whose sum is σ = 170565472. Its totient is φ = 10497600.

The previous prime is 45983699. The next prime is 45983737. The reversal of 45983700 is 738954.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×45983700² = 4229001331380000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56295 + ... + 57105.

Almost surely, 2^45983700 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 45983700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85282736).

45983700 is an abundant number, since it is smaller than the sum of its proper divisors (124581772).

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

45983700 is a wasteful number, since it uses less digits than its factorization.

45983700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45983700 is about 6781.1282247131. The cubic root of 45983700 is about 358.2624605943.

The spelling of 45983700 in words is "forty-five million, nine hundred eighty-three thousand, seven hundred".