742401600 has 84 divisors (see below), whose sum is σ = 2435711664. Its totient is φ = 197972480.

The previous prime is 742401587. The next prime is 742401619. The reversal of 742401600 is 6104247.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72534 + ... + 82133.

Almost surely, 2^742401600 is an apocalyptic number.

It is an amenable number.

742401600 is an abundant number, since it is smaller than the sum of its proper divisors (1693310064).

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

742401600 is a wasteful number, since it uses less digits than its factorization.

742401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154692 (or 154677 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 742401600 is about 27247.0475464774. The cubic root of 742401600 is about 905.4816072591.

Adding to 742401600 its reverse (6104247), we get a palindrome (748505847).

The spelling of 742401600 in words is "seven hundred forty-two million, four hundred one thousand, six hundred".