45486720 has 192 divisors, whose sum is σ = 161109000. Its totient is φ = 11821056.

The previous prime is 45486697. The next prime is 45486751. The reversal of 45486720 is 2768454.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 13133376 = 5688^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305206 + ... + 305354.

Almost surely, 2^45486720 is an apocalyptic number.

45486720 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 45486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80554500).

45486720 is an abundant number, since it is smaller than the sum of its proper divisors (115622280).

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

45486720 is a wasteful number, since it uses less digits than its factorization.

45486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45486720 is about 6744.3843306858. The cubic root of 45486720 is about 356.9671132288.

It can be divided in two parts, 45 and 486720, that multiplied together give a square (21902400 = 4680²).

The spelling of 45486720 in words is "forty-five million, four hundred eighty-six thousand, seven hundred twenty".