45491600 has 180 divisors, whose sum is σ = 139352688. Its totient is φ = 14112000.

The previous prime is 45491573. The next prime is 45491603. The reversal of 45491600 is 619454.

It is not an unprimeable number, because it can be changed into a prime (45491603) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 215495 + ... + 215705.

Almost surely, 2^45491600 is an apocalyptic number.

45491600 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 45491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69676344).

45491600 is an abundant number, since it is smaller than the sum of its proper divisors (93861088).

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

45491600 is a wasteful number, since it uses less digits than its factorization.

45491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 45491600 is about 6744.7461034497. The cubic root of 45491600 is about 356.9798783994.

The spelling of 45491600 in words is "forty-five million, four hundred ninety-one thousand, six hundred".