742462400 has 84 divisors (see below), whose sum is σ = 1885980480. Its totient is φ = 287385600.

The previous prime is 742462393. The next prime is 742462417. The reversal of 742462400 is 4264247.

It is a congruent number.

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, 42116 + ... + 57084.

Almost surely, 2^742462400 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 742462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942990240).

742462400 is an abundant number, since it is smaller than the sum of its proper divisors (1143518080).

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

742462400 is a wasteful number, since it uses less digits than its factorization.

742462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 15007 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 742462400 is about 27248.1632408498. The cubic root of 742462400 is about 905.5063251382.

The spelling of 742462400 in words is "seven hundred forty-two million, four hundred sixty-two thousand, four hundred".