45986500 has 72 divisors (see below), whose sum is σ = 116894232. Its totient is φ = 15758400.

The previous prime is 45986491. The next prime is 45986503. The reversal of 45986500 is 568954.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 44970436 = 1008^2 + 6706^2 .

It is a super-2 number, since 2×45986500² = 4229516364500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45986500.

It is not an unprimeable number, because it can be changed into a prime (45986503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23562 + ... + 25438.

It is an arithmetic number, because the mean of its divisors is an integer number (1623531).

Almost surely, 2^45986500 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 45986500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58447116).

45986500 is an abundant number, since it is smaller than the sum of its proper divisors (70907732).

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

45986500 is a wasteful number, since it uses less digits than its factorization.

45986500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 45986500 is about 6781.3346768907. The cubic root of 45986500 is about 358.2697321168.

The spelling of 45986500 in words is "forty-five million, nine hundred eighty-six thousand, five hundred".