734666400 has 432 divisors, whose sum is σ = 2866316544. Its totient is φ = 175933440.

The previous prime is 734666399. The next prime is 734666417. The reversal of 734666400 is 4666437.

734666400 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4399117 + ... + 4399283.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^734666400 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 734666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433158272).

734666400 is an abundant number, since it is smaller than the sum of its proper divisors (2131650144).

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

734666400 is a wasteful number, since it uses less digits than its factorization.

734666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 734666400 is about 27104.7302144847. The cubic root of 734666400 is about 902.3258361036.

The spelling of 734666400 in words is "seven hundred thirty-four million, six hundred sixty-six thousand, four hundred".