740390400 has 180 divisors, whose sum is σ = 2650065132. Its totient is φ = 197406720.

The previous prime is 740390393. The next prime is 740390437. The reversal of 740390400 is 4093047.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111987 + ... + 118413.

Almost surely, 2^740390400 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 740390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325032566).

740390400 is an abundant number, since it is smaller than the sum of its proper divisors (1909674732).

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

740390400 is a wasteful number, since it uses less digits than its factorization.

740390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 740390400 is about 27210.1157660161. The cubic root of 740390400 is about 904.6632040421.

The spelling of 740390400 in words is "seven hundred forty million, three hundred ninety thousand, four hundred".