45993024 has 336 divisors, whose sum is σ = 176881536. Its totient is φ = 11059200.

The previous prime is 45993023. The next prime is 45993071. The reversal of 45993024 is 42039954.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45993024.

It is not an unprimeable number, because it can be changed into a prime (45993023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753954 + ... + 754014.

Almost surely, 2^45993024 is an apocalyptic number.

45993024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

45993024 is an abundant number, since it is smaller than the sum of its proper divisors (130888512).

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

45993024 is a wasteful number, since it uses less digits than its factorization.

45993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45993024 is about 6781.8156860829. The cubic root of 45993024 is about 358.2866736193.

It can be divided in two parts, 459930 and 24, that added together give a palindrome (459954).

The spelling of 45993024 in words is "forty-five million, nine hundred ninety-three thousand, twenty-four".