45437700 has 216 divisors, whose sum is σ = 167426784. Its totient is φ = 9408000.

The previous prime is 45437677. The next prime is 45437701. The reversal of 45437700 is 773454.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45437701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161560 + ... + 161840.

It is an arithmetic number, because the mean of its divisors is an integer number (775124).

Almost surely, 2^45437700 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 45437700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83713392).

45437700 is an abundant number, since it is smaller than the sum of its proper divisors (121989084).

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

45437700 is a wasteful number, since it uses less digits than its factorization.

45437700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 45437700 is about 6740.7492165189. The cubic root of 45437700 is about 356.8388353668.

The spelling of 45437700 in words is "forty-five million, four hundred thirty-seven thousand, seven hundred".