1070438400 has 432 divisors, whose sum is σ = 4039897680. Its totient is φ = 270336000.

The previous prime is 1070438399. The next prime is 1070438417. The reversal of 1070438400 is 48340701.

It is a super-2 number, since 2×1070438400² = 2291676736389120000, 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 35 ways as a sum of consecutive naturals, for example, 10598350 + ... + 10598450.

It is an arithmetic number, because the mean of its divisors is an integer number (9351615).

Almost surely, 2^1070438400 is an apocalyptic number.

1070438400 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 1070438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019948840).

1070438400 is an abundant number, since it is smaller than the sum of its proper divisors (2969459280).

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

1070438400 is a wasteful number, since it uses less digits than its factorization.

1070438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1070438400 is about 32717.5549208678. The cubic root of 1070438400 is about 1022.9487910200.

The spelling of 1070438400 in words is "one billion, seventy million, four hundred thirty-eight thousand, four hundred".