740414400 has 336 divisors, whose sum is σ = 2728813440. Its totient is φ = 174182400.

The previous prime is 740414383. The next prime is 740414417. The reversal of 740414400 is 4414047.

It is an interprime number because it is at equal distance from previous prime (740414383) and next prime (740414417).

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 47 ways as a sum of consecutive naturals, for example, 1953411 + ... + 1953789.

Almost surely, 2^740414400 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 740414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364406720).

740414400 is an abundant number, since it is smaller than the sum of its proper divisors (1988399040).

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

740414400 is a wasteful number, since it uses less digits than its factorization.

740414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 740414400 is about 27210.5567748990. The cubic root of 740414400 is about 904.6729789222.

Adding to 740414400 its reverse (4414047), we get a palindrome (744828447).

The spelling of 740414400 in words is "seven hundred forty million, four hundred fourteen thousand, four hundred".