740400 has 60 divisors (see below), whose sum is σ = 2375592. Its totient is φ = 197120.

The previous prime is 740387. The next prime is 740423. The reversal of 740400 is 4047.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 740400.

It is an unprimeable number.

740400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892 + ... + 1508.

2⁷⁴⁰⁴⁰⁰ 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 740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187796).

740400 is an abundant number, since it is smaller than the sum of its proper divisors (1635192).

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

740400 is a wasteful number, since it uses less digits than its factorization.

740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 740400 is about 860.4649905720. The cubic root of 740400 is about 90.4667114019.

Adding to 740400 its reverse (4047), we get a palindrome (744447).

The spelling of 740400 in words is "seven hundred forty thousand, four hundred", and thus it is an iban number.