45944640 has 336 divisors, whose sum is σ = 188293248. Its totient is φ = 10063872.

The previous prime is 45944621. The next prime is 45944653. The reversal of 45944640 is 4644954.

45944640 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 4 + 640 = 666.

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

It is a super-2 number, since 2×45944640² = 4221819889459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45944595 and 45944604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866854 + ... + 866906.

Almost surely, 2^45944640 is an apocalyptic number.

45944640 is a gapful number since it is divisible by the number (40) 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 45944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94146624).

45944640 is an abundant number, since it is smaller than the sum of its proper divisors (142348608).

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

45944640 is a wasteful number, since it uses less digits than its factorization.

45944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45944640 is about 6778.2475611326. The cubic root of 45944640 is about 358.1609920607.

The spelling of 45944640 in words is "forty-five million, nine hundred forty-four thousand, six hundred forty".