1004283840 has 448 divisors, whose sum is σ = 3950208000. Its totient is φ = 210960384.

The previous prime is 1004283767. The next prime is 1004283901. The reversal of 1004283840 is 483824001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1004283798 and 1004283807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6740086 + ... + 6740234.

Almost surely, 2^1004283840 is an apocalyptic number.

1004283840 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 1004283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

1004283840 is an abundant number, since it is smaller than the sum of its proper divisors (2945924160).

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

1004283840 is a wasteful number, since it uses less digits than its factorization.

1004283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1004283840 is about 31690.4376744784. The cubic root of 1004283840 is about 1001.4259124739.

The spelling of 1004283840 in words is "one billion, four million, two hundred eighty-three thousand, eight hundred forty".