45808470400 has 288 divisors, whose sum is σ = 142161369840. Its totient is φ = 14277120000.

The previous prime is 45808470397. The next prime is 45808470457. The reversal of 45808470400 is 407480854.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2701950 + ... + 2718850.

Almost surely, 2^45808470400 is an apocalyptic number.

45808470400 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 45808470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71080684920).

45808470400 is an abundant number, since it is smaller than the sum of its proper divisors (96352899440).

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

45808470400 is a wasteful number, since it uses less digits than its factorization.

45808470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 45808470400 in words is "forty-five billion, eight hundred eight million, four hundred seventy thousand, four hundred".