1252823040 has 312 divisors, whose sum is σ = 4968070848. Its totient is φ = 286064640.

The previous prime is 1252823021. The next prime is 1252823107. The reversal of 1252823040 is 403282521.

It is a junction number, because it is equal to n+sod(n) for n = 1252822995 and 1252823013.

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, 1289755 + ... + 1290725.

It is an arithmetic number, because the mean of its divisors is an integer number (15923304).

Almost surely, 2^1252823040 is an apocalyptic number.

1252823040 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 1252823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484035424).

1252823040 is an abundant number, since it is smaller than the sum of its proper divisors (3715247808).

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

1252823040 is an equidigital number, since it uses as much as digits as its factorization.

1252823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1252823040 is about 35395.2403579916. The cubic root of 1252823040 is about 1078.0276760036.

The spelling of 1252823040 in words is "one billion, two hundred fifty-two million, eight hundred twenty-three thousand, forty".