45991400 has 216 divisors, whose sum is σ = 141377670. Its totient is φ = 13789440.

The previous prime is 45991397. The next prime is 45991403. The reversal of 45991400 is 419954.

It is an interprime number because it is at equal distance from previous prime (45991397) and next prime (45991403).

It can be written as a sum of positive squares in 3 ways, for example, as 25542916 + 20448484 = 5054^2 + 4522^2 .

It is not an unprimeable number, because it can be changed into a prime (45991403) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2420591 + ... + 2420609.

Almost surely, 2^45991400 is an apocalyptic number.

45991400 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 45991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70688835).

45991400 is an abundant number, since it is smaller than the sum of its proper divisors (95386270).

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

45991400 is a wasteful number, since it uses less digits than its factorization.

45991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 45991400 is about 6781.6959530784. The cubic root of 45991400 is about 358.2824565710.

The spelling of 45991400 in words is "forty-five million, nine hundred ninety-one thousand, four hundred".