45471896400 has 240 divisors, whose sum is σ = 166614336000. Its totient is φ = 10384596480.

The previous prime is 45471896387. The next prime is 45471896423. The reversal of 45471896400 is 469817454.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45471896400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17630311 + ... + 17632889.

It is an arithmetic number, because the mean of its divisors is an integer number (694226400).

Almost surely, 2^45471896400 is an apocalyptic number.

45471896400 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 45471896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83307168000).

45471896400 is an abundant number, since it is smaller than the sum of its proper divisors (121142439600).

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

45471896400 is a wasteful number, since it uses less digits than its factorization.

45471896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 45471896400 in words is "forty-five billion, four hundred seventy-one million, eight hundred ninety-six thousand, four hundred".