45999954 has 256 divisors, whose sum is σ = 147087360. Its totient is φ = 10264320.

The previous prime is 45999953. The next prime is 45999973.

45999954 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45999954.

It is not an unprimeable number, because it can be changed into a prime (45999953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1243224 + ... + 1243260.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^45999954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45999954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

45999954 is an abundant number, since it is smaller than the sum of its proper divisors (101087406).

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

45999954 is a wasteful number, since it uses less digits than its factorization.

45999954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 45999954 is about 6782.3265919594. The cubic root of 45999954 is about 358.3046676666.

It can be divided in two parts, 45 and 999954, that added together give a palindrome (999999).

The spelling of 45999954 in words is "forty-five million, nine hundred ninety-nine thousand, nine hundred fifty-four".