1054413400 has 96 divisors (see below), whose sum is σ = 2531088000. Its totient is φ = 408243200.

The previous prime is 1054413391. The next prime is 1054413401. The reversal of 1054413400 is 43144501.

1054413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054413400² = 2223575236199120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221369 + ... + 1222231.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 2^1054413400 is an apocalyptic number.

1054413400 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 1054413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265544000).

1054413400 is an abundant number, since it is smaller than the sum of its proper divisors (1476674600).

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

1054413400 is a wasteful number, since it uses less digits than its factorization.

1054413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1054413400 is about 32471.7323221290. The cubic root of 1054413400 is about 1017.8184182134.

Adding to 1054413400 its reverse (43144501), we get a palindrome (1097557901).

The spelling of 1054413400 in words is "one billion, fifty-four million, four hundred thirteen thousand, four hundred".