45590940 has 144 divisors (see below), whose sum is σ = 150014592. Its totient is φ = 11163648.

The previous prime is 45590939. The next prime is 45590959. The reversal of 45590940 is 4909554.

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 = 45590895 and 45590904.

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, 143662 + ... + 143978.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 2^45590940 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 45590940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007296).

45590940 is an abundant number, since it is smaller than the sum of its proper divisors (104423652).

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

45590940 is a wasteful number, since it uses less digits than its factorization.

45590940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

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

The square root of 45590940 is about 6752.1063380252. The cubic root of 45590940 is about 357.2395351223.

The spelling of 45590940 in words is "forty-five million, five hundred ninety thousand, nine hundred forty".