734552400 has 120 divisors (see below), whose sum is σ = 2361661344. Its totient is φ = 195161600.

The previous prime is 734552389. The next prime is 734552461. The reversal of 734552400 is 4255437.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379435 + ... + 381365.

Almost surely, 2^734552400 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 734552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180830672).

734552400 is an abundant number, since it is smaller than the sum of its proper divisors (1627108944).

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

734552400 is a wasteful number, since it uses less digits than its factorization.

734552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 734552400 is about 27102.6271789286. The cubic root of 734552400 is about 902.2791616463.

It can be divided in two parts, 73455 and 2400, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 734552400 in words is "seven hundred thirty-four million, five hundred fifty-two thousand, four hundred".