45652480 has 80 divisors (see below), whose sum is σ = 116008200. Its totient is φ = 17170432.

The previous prime is 45652469. The next prime is 45652483. The reversal of 45652480 is 8425654.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 278784 = 6736^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (45652483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42996 + ... + 44044.

Almost surely, 2^45652480 is an apocalyptic number.

45652480 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 45652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58004100).

45652480 is an abundant number, since it is smaller than the sum of its proper divisors (70355720).

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

45652480 is a wasteful number, since it uses less digits than its factorization.

45652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 45652480 is about 6756.6618977125. The cubic root of 45652480 is about 357.4002003526.

The spelling of 45652480 in words is "forty-five million, six hundred fifty-two thousand, four hundred eighty".