45450720 has 288 divisors, whose sum is σ = 184923648. Its totient is φ = 10326528.

The previous prime is 45450719. The next prime is 45450791. The reversal of 45450720 is 2705454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272077 + ... + 272243.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^45450720 is an apocalyptic number.

45450720 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 45450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

45450720 is an abundant number, since it is smaller than the sum of its proper divisors (139472928).

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

45450720 is a wasteful number, since it uses less digits than its factorization.

45450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45450720 is about 6741.7149153609. The cubic root of 45450720 is about 356.8729157152.

The spelling of 45450720 in words is "forty-five million, four hundred fifty thousand, seven hundred twenty".