1234828800 has 360 divisors, whose sum is σ = 4594325736. Its totient is φ = 328458240.

The previous prime is 1234828783. The next prime is 1234828817. The reversal of 1234828800 is 88284321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1234828783) and next prime (1234828817).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110202 + ... + 3110598.

Almost surely, 2^1234828800 is an apocalyptic number.

1234828800 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 1234828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297162868).

1234828800 is an abundant number, since it is smaller than the sum of its proper divisors (3359496936).

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

1234828800 is an frugal number, since it uses more digits than its factorization.

1234828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1234828800 is about 35140.1309047078. The cubic root of 1234828800 is about 1072.8415460691.

The spelling of 1234828800 in words is "one billion, two hundred thirty-four million, eight hundred twenty-eight thousand, eight hundred".