1283013600 has 288 divisors, whose sum is σ = 4756195584. Its totient is φ = 297369600.

The previous prime is 1283013583. The next prime is 1283013643. The reversal of 1283013600 is 63103821.

It is a super-2 number, since 2×1283013600² = 3292247795569920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 606144 + ... + 608256.

It is an arithmetic number, because the mean of its divisors is an integer number (16514568).

Almost surely, 2^1283013600 is an apocalyptic number.

1283013600 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 1283013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378097792).

1283013600 is an abundant number, since it is smaller than the sum of its proper divisors (3473181984).

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

1283013600 is a wasteful number, since it uses less digits than its factorization.

1283013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1283013600 is about 35819.1792200771. The cubic root of 1283013600 is about 1086.6184797197.

The spelling of 1283013600 in words is "one billion, two hundred eighty-three million, thirteen thousand, six hundred".