45486456 has 64 divisors (see below), whose sum is σ = 124934400. Its totient is φ = 13736448.

The previous prime is 45486451. The next prime is 45486481. The reversal of 45486456 is 65468454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45486451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8320 + ... + 12656.

It is an arithmetic number, because the mean of its divisors is an integer number (1952100).

Almost surely, 2^45486456 is an apocalyptic number.

45486456 is a gapful number since it is divisible by the number (46) 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 45486456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62467200).

45486456 is an abundant number, since it is smaller than the sum of its proper divisors (79447944).

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

45486456 is a wasteful number, since it uses less digits than its factorization.

45486456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4384 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 45486456 is about 6744.3647588190. The cubic root of 45486456 is about 356.9664226280.

The spelling of 45486456 in words is "forty-five million, four hundred eighty-six thousand, four hundred fifty-six".