742279440 has 320 divisors, whose sum is σ = 2742681600. Its totient is φ = 165957120.

The previous prime is 742279423. The next prime is 742279453. The reversal of 742279440 is 44972247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5844657 + ... + 5844783.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2^742279440 is an apocalyptic number.

742279440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

742279440 is an abundant number, since it is smaller than the sum of its proper divisors (2000402160).

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

742279440 is a wasteful number, since it uses less digits than its factorization.

742279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 742279440 is about 27244.8057434807. The cubic root of 742279440 is about 905.4319397562.

The spelling of 742279440 in words is "seven hundred forty-two million, two hundred seventy-nine thousand, four hundred forty".