45949500 has 72 divisors (see below), whose sum is σ = 144969552. Its totient is φ = 12252000.

The previous prime is 45949483. The next prime is 45949507. The reversal of 45949500 is 594954.

45949500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45949500³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45949507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2013466).

Almost surely, 2^45949500 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 45949500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72484776).

45949500 is an abundant number, since it is smaller than the sum of its proper divisors (99020052).

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

45949500 is a wasteful number, since it uses less digits than its factorization.

45949500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45949500 is about 6778.6060513943. The cubic root of 45949500 is about 358.1736203096.

The spelling of 45949500 in words is "forty-five million, nine hundred forty-nine thousand, five hundred".