1234478400 has 168 divisors, whose sum is σ = 4144999584. Its totient is φ = 321484800.

The previous prime is 1234478387. The next prime is 1234478407. The reversal of 1234478400 is 48744321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234478407) 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 23 ways as a sum of consecutive naturals, for example, 203410 + ... + 209390.

Almost surely, 2^1234478400 is an apocalyptic number.

1234478400 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 1234478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072499792).

1234478400 is an abundant number, since it is smaller than the sum of its proper divisors (2910521184).

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

1234478400 is a wasteful number, since it uses less digits than its factorization.

1234478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1234478400 is about 35135.1447983355. The cubic root of 1234478400 is about 1072.7400585211.

The spelling of 1234478400 in words is "one billion, two hundred thirty-four million, four hundred seventy-eight thousand, four hundred".