45486480 has 160 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 10967040.

The previous prime is 45486451. The next prime is 45486481. The reversal of 45486480 is 8468454.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45486481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190201 + ... + 190439.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^45486480 is an apocalyptic number.

45486480 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 45486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

45486480 is an abundant number, since it is smaller than the sum of its proper divisors (109503600).

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

45486480 is a wasteful number, since it uses less digits than its factorization.

45486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 45486480 is about 6744.3665380820. The cubic root of 45486480 is about 356.9664854100.

The spelling of 45486480 in words is "forty-five million, four hundred eighty-six thousand, four hundred eighty".