744962400 has 576 divisors, whose sum is σ = 3324787200. Its totient is φ = 156764160.

The previous prime is 744962399. The next prime is 744962429. The reversal of 744962400 is 4269447.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965411 + ... + 1965789.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^744962400 is an apocalyptic number.

744962400 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 744962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

744962400 is an abundant number, since it is smaller than the sum of its proper divisors (2579824800).

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

744962400 is a wasteful number, since it uses less digits than its factorization.

744962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 744962400 is about 27293.9993405144. Note that the first 3 decimals coincide. The cubic root of 744962400 is about 906.5215189599.

Adding to 744962400 its sum of digits (36), we get a square (744962436 = 27294²).

The spelling of 744962400 in words is "seven hundred forty-four million, nine hundred sixty-two thousand, four hundred".