45904652400 has 240 divisors, whose sum is σ = 150517509120. Its totient is φ = 11955686400.

The previous prime is 45904652377. The next prime is 45904652447. The reversal of 45904652400 is 425640954.

It is a happy number.

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

It is a super-2 number, since 2×45904652400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284329 + ... + 9289271.

It is an arithmetic number, because the mean of its divisors is an integer number (627156288).

Almost surely, 2^45904652400 is an apocalyptic number.

45904652400 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 45904652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75258754560).

45904652400 is an abundant number, since it is smaller than the sum of its proper divisors (104612856720).

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

45904652400 is a wasteful number, since it uses less digits than its factorization.

45904652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 45904652400 in words is "forty-five billion, nine hundred four million, six hundred fifty-two thousand, four hundred".