45993408 has 56 divisors (see below), whose sum is σ = 122194320. Its totient is φ = 15267840.

The previous prime is 45993407. The next prime is 45993419. The reversal of 45993408 is 80439954.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45993408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45993403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80548 + ... + 81116.

Almost surely, 2^45993408 is an apocalyptic number.

45993408 is a gapful number since it is divisible by the number (48) 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 45993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61097160).

45993408 is an abundant number, since it is smaller than the sum of its proper divisors (76200912).

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

45993408 is a wasteful number, since it uses less digits than its factorization.

45993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 45993408 is about 6781.8439970262. The cubic root of 45993408 is about 358.2876707393.

The spelling of 45993408 in words is "forty-five million, nine hundred ninety-three thousand, four hundred eight".