1240428000 has 192 divisors, whose sum is σ = 4644476928. Its totient is φ = 283507200.

The previous prime is 1240427989. The next prime is 1240428037. The reversal of 1240428000 is 8240421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76617 + ... + 91383.

It is an arithmetic number, because the mean of its divisors is an integer number (24189984).

Almost surely, 2^1240428000 is an apocalyptic number.

1240428000 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 1240428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322238464).

1240428000 is an abundant number, since it is smaller than the sum of its proper divisors (3404048928).

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

1240428000 is a wasteful number, since it uses less digits than its factorization.

1240428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1240428000 is about 35219.7103906321. The cubic root of 1240428000 is about 1074.4606632935.

Adding to 1240428000 its reverse (8240421), we get a palindrome (1248668421).

It can be divided in two parts, 12404 and 28000, that added together give a palindrome (40404).

The spelling of 1240428000 in words is "one billion, two hundred forty million, four hundred twenty-eight thousand".