10454504400 has 360 divisors, whose sum is σ = 37306596600. Its totient is φ = 2710056960.

The previous prime is 10454504381. The next prime is 10454504407. The reversal of 10454504400 is 440545401.

10454504400 is a `hidden beast` number, since 104 + 54 + 504 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1623767616 + 8830736784 = 40296^2 + 93972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454504407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29955426 + ... + 29955774.

It is an arithmetic number, because the mean of its divisors is an integer number (103629435).

Almost surely, 2^10454504400 is an apocalyptic number.

10454504400 is a gapful number since it is divisible by the number (10) 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 10454504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653298300).

10454504400 is an abundant number, since it is smaller than the sum of its proper divisors (26852092200).

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

10454504400 is a wasteful number, since it uses less digits than its factorization.

10454504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 10454504400 in words is "ten billion, four hundred fifty-four million, five hundred four thousand, four hundred".