744682400 has 324 divisors, whose sum is σ = 2339299494. Its totient is φ = 230630400.

The previous prime is 744682381. The next prime is 744682453. The reversal of 744682400 is 4286447.

It can be written as a sum of positive squares in 3 ways, for example, as 478209424 + 266472976 = 21868^2 + 16324^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4743122 + ... + 4743278.

Almost surely, 2^744682400 is an apocalyptic number.

744682400 is a gapful number since it is divisible by the number (70) 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 744682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169649747).

744682400 is an abundant number, since it is smaller than the sum of its proper divisors (1594617094).

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

744682400 is a wasteful number, since it uses less digits than its factorization.

744682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 744682400 is about 27288.8695258708. The cubic root of 744682400 is about 906.4079303042.

The spelling of 744682400 in words is "seven hundred forty-four million, six hundred eighty-two thousand, four hundred".