742414464 has 256 divisors, whose sum is σ = 2438208000. Its totient is φ = 220492800.

The previous prime is 742414459. The next prime is 742414483. The reversal of 742414464 is 464414247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242779 + ... + 2243109.

It is an arithmetic number, because the mean of its divisors is an integer number (9524250).

Almost surely, 2^742414464 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 742414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219104000).

742414464 is an abundant number, since it is smaller than the sum of its proper divisors (1695793536).

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

742414464 is a wasteful number, since it uses less digits than its factorization.

742414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 742414464 is about 27247.2836077287. The cubic root of 742414464 is about 905.4868371545.

The spelling of 742414464 in words is "seven hundred forty-two million, four hundred fourteen thousand, four hundred sixty-four".