1074294144 has 384 divisors, whose sum is σ = 3993830400. Its totient is φ = 278277120.

The previous prime is 1074294139. The next prime is 1074294157. The reversal of 1074294144 is 4414924701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1074294099 and 1074294108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2927049 + ... + 2927415.

It is an arithmetic number, because the mean of its divisors is an integer number (10400600).

Almost surely, 2^1074294144 is an apocalyptic number.

1074294144 is a gapful number since it is divisible by the number (14) 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 1074294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996915200).

1074294144 is an abundant number, since it is smaller than the sum of its proper divisors (2919536256).

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

1074294144 is a wasteful number, since it uses less digits than its factorization.

1074294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1074294144 is about 32776.4266508721. The cubic root of 1074294144 is about 1024.1755477030.

The spelling of 1074294144 in words is "one billion, seventy-four million, two hundred ninety-four thousand, one hundred forty-four".