45096480 has 384 divisors, whose sum is σ = 187971840. Its totient is φ = 9953280.

The previous prime is 45096463. The next prime is 45096487. The reversal of 45096480 is 8469054.

45096480 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45096487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617724 + ... + 617796.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 2^45096480 is an apocalyptic number.

45096480 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 45096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985920).

45096480 is an abundant number, since it is smaller than the sum of its proper divisors (142875360).

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

45096480 is a wasteful number, since it uses less digits than its factorization.

45096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45096480 is about 6715.3912767612. The cubic root of 45096480 is about 355.9433483055.

The spelling of 45096480 in words is "forty-five million, ninety-six thousand, four hundred eighty".