1054414400 has 168 divisors, whose sum is σ = 2820277824. Its totient is φ = 385689600.

The previous prime is 1054414381. The next prime is 1054414421. The reversal of 1054414400 is 44144501.

It is a happy number.

It is a super-2 number, since 2×1054414400² = 2223579453854720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3390245 + ... + 3390555.

It is an arithmetic number, because the mean of its divisors is an integer number (16787368).

Almost surely, 2^1054414400 is an apocalyptic number.

1054414400 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 1054414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410138912).

1054414400 is an abundant number, since it is smaller than the sum of its proper divisors (1765863424).

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

1054414400 is a wasteful number, since it uses less digits than its factorization.

1054414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1054414400 is about 32471.7477201336. The cubic root of 1054414400 is about 1017.8187399778.

Adding to 1054414400 its reverse (44144501), we get a palindrome (1098558901).

The spelling of 1054414400 in words is "one billion, fifty-four million, four hundred fourteen thousand, four hundred".