45190560 has 96 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 11658240.

The previous prime is 45190559. The next prime is 45190571. The reversal of 45190560 is 6509154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45190560² = 4084373426227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13362 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^45190560 is an apocalyptic number.

45190560 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 45190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

45190560 is an abundant number, since it is smaller than the sum of its proper divisors (101800032).

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

45190560 is a wasteful number, since it uses less digits than its factorization.

45190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 45190560 is about 6722.3924312703. The cubic root of 45190560 is about 356.1906986550.

The spelling of 45190560 in words is "forty-five million, one hundred ninety thousand, five hundred sixty".