1054694400 has 264 divisors, whose sum is σ = 3606388224. Its totient is φ = 271564800.

The previous prime is 1054694387. The next prime is 1054694413. The reversal of 1054694400 is 44964501.

1054694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1054694387) and next prime (1054694413).

It is a super-2 number, since 2×1054694400² = 2224760554782720000, which contains 22 as substring.

It is a congruent number.

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, 2380579 + ... + 2381021.

Almost surely, 2^1054694400 is an apocalyptic number.

1054694400 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 1054694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803194112).

1054694400 is an abundant number, since it is smaller than the sum of its proper divisors (2551693824).

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

1054694400 is a wasteful number, since it uses less digits than its factorization.

1054694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1054694400 is about 32476.0588741922. The cubic root of 1054694400 is about 1017.9088260087.

The spelling of 1054694400 in words is "one billion, fifty-four million, six hundred ninety-four thousand, four hundred".