1234542400 has 336 divisors, whose sum is σ = 3827393920. Its totient is φ = 381542400.

The previous prime is 1234542371. The next prime is 1234542403. The reversal of 1234542400 is 42454321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234542403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8881531 + ... + 8881669.

Almost surely, 2^1234542400 is an apocalyptic number.

1234542400 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 1234542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913696960).

1234542400 is an abundant number, since it is smaller than the sum of its proper divisors (2592851520).

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

1234542400 is a wasteful number, since it uses less digits than its factorization.

1234542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1234542400 is about 35136.0555555116. The cubic root of 1234542400 is about 1072.7585964929.

Adding to 1234542400 its reverse (42454321), we get a palindrome (1276996721).

It can be divided in two parts, 12345 and 42400, that added together give a palindrome (54745).

The spelling of 1234542400 in words is "one billion, two hundred thirty-four million, five hundred forty-two thousand, four hundred".