1234742400 has 384 divisors, whose sum is σ = 4674700800. Its totient is φ = 317952000.

The previous prime is 1234742371. The next prime is 1234742407. The reversal of 1234742400 is 42474321.

1234742400 is a `hidden beast` number, since 1 + 234 + 7 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1234742407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678170 + ... + 2678630.

It is an arithmetic number, because the mean of its divisors is an integer number (12173700).

Almost surely, 2^1234742400 is an apocalyptic number.

1234742400 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 1234742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337350400).

1234742400 is an abundant number, since it is smaller than the sum of its proper divisors (3439958400).

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

1234742400 is a wasteful number, since it uses less digits than its factorization.

1234742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1234742400 is about 35138.9015195410. The cubic root of 1234742400 is about 1072.8165235257.

The spelling of 1234742400 in words is "one billion, two hundred thirty-four million, seven hundred forty-two thousand, four hundred".