45191840 has 72 divisors (see below), whose sum is σ = 110703348. Its totient is φ = 17423360.

The previous prime is 45191833. The next prime is 45191851. The reversal of 45191840 is 4819154.

It can be written as a sum of positive squares in 2 ways, for example, as 39790864 + 5400976 = 6308^2 + 2324^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45191797 and 45191806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544439 + ... + 544521.

Almost surely, 2^45191840 is an apocalyptic number.

45191840 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 45191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351674).

45191840 is an abundant number, since it is smaller than the sum of its proper divisors (65511508).

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

45191840 is an equidigital number, since it uses as much as digits as its factorization.

45191840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 45191840 is about 6722.4876347971. The cubic root of 45191840 is about 356.1940615976.

The spelling of 45191840 in words is "forty-five million, one hundred ninety-one thousand, eight hundred forty".