45465840 has 320 divisors, whose sum is σ = 186654720. Its totient is φ = 9953280.

The previous prime is 45465839. The next prime is 45465851. The reversal of 45465840 is 4856454.

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

It is a junction number, because it is equal to n+sod(n) for n = 45465795 and 45465804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468672 + ... + 468768.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^45465840 is an apocalyptic number.

45465840 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 45465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

45465840 is an abundant number, since it is smaller than the sum of its proper divisors (141188880).

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

45465840 is a wasteful number, since it uses less digits than its factorization.

45465840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45465840 is about 6742.8361985147. The cubic root of 45465840 is about 356.9124847271.

The spelling of 45465840 in words is "forty-five million, four hundred sixty-five thousand, eight hundred forty".