734142400 has 84 divisors (see below), whose sum is σ = 1819996360. Its totient is φ = 291456000.

The previous prime is 734142391. The next prime is 734142457. The reversal of 734142400 is 4241437.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220750 + ... + 224050.

Almost surely, 2^734142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909998180).

734142400 is an abundant number, since it is smaller than the sum of its proper divisors (1085853960).

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

734142400 is a wasteful number, since it uses less digits than its factorization.

734142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 734142400 is about 27095.0622807920. The cubic root of 734142400 is about 902.1112574435. Note that the first 3 decimals are identical.

Adding to 734142400 its reverse (4241437), we get a palindrome (738383837).

The spelling of 734142400 in words is "seven hundred thirty-four million, one hundred forty-two thousand, four hundred".