741350400 has 396 divisors, whose sum is σ = 2864702808. Its totient is φ = 168591360.

The previous prime is 741350387. The next prime is 741350419. The reversal of 741350400 is 4053147.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763102 + ... + 3763298.

It is an arithmetic number, because the mean of its divisors is an integer number (7234098).

Almost surely, 2^741350400 is an apocalyptic number.

741350400 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 741350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432351404).

741350400 is an abundant number, since it is smaller than the sum of its proper divisors (2123352408).

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

741350400 is a wasteful number, since it uses less digits than its factorization.

741350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 741350400 is about 27227.7505497608. The cubic root of 741350400 is about 905.0540346032.

The spelling of 741350400 in words is "seven hundred forty-one million, three hundred fifty thousand, four hundred".