4534238400 has 336 divisors, whose sum is σ = 15780251904. Its totient is φ = 1137438720.

The previous prime is 4534238399. The next prime is 4534238431. The reversal of 4534238400 is 48324354.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7396494 + ... + 7397106.

Almost surely, 2^4534238400 is an apocalyptic number.

4534238400 is a gapful number since it is divisible by the number (40) 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 4534238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890125952).

4534238400 is an abundant number, since it is smaller than the sum of its proper divisors (11246013504).

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

4534238400 is a wasteful number, since it uses less digits than its factorization.

4534238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4534238400 is about 67336.7537085060. The cubic root of 4534238400 is about 1655.1401870402.

The spelling of 4534238400 in words is "four billion, five hundred thirty-four million, two hundred thirty-eight thousand, four hundred".