1004263920 has 400 divisors, whose sum is σ = 3877153632. Its totient is φ = 238878720.

The previous prime is 1004263891. The next prime is 1004263921. The reversal of 1004263920 is 293624001.

1004263920 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 639 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004263921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5203344 + ... + 5203536.

Almost surely, 2^1004263920 is an apocalyptic number.

1004263920 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 1004263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938576816).

1004263920 is an abundant number, since it is smaller than the sum of its proper divisors (2872889712).

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

1004263920 is a wasteful number, since it uses less digits than its factorization.

1004263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1004263920 is about 31690.1233825304. The cubic root of 1004263920 is about 1001.4192913258.

Adding to 1004263920 its reverse (293624001), we get a palindrome (1297887921).

The spelling of 1004263920 in words is "one billion, four million, two hundred sixty-three thousand, nine hundred twenty".