742627407 has 16 divisors (see below), whose sum is σ = 1070456960. Its totient is φ = 456350112.

The previous prime is 742627387. The next prime is 742627409. The reversal of 742627407 is 704726247.

It is not a de Polignac number, because 742627407 - 2¹⁵ = 742594639 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742627409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173953 + ... + 178170.

It is an arithmetic number, because the mean of its divisors is an integer number (66903560).

Almost surely, 2^742627407 is an apocalyptic number.

742627407 is a deficient number, since it is larger than the sum of its proper divisors (327829553).

742627407 is a wasteful number, since it uses less digits than its factorization.

742627407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352182.

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 742627407 is about 27251.1909281044. The cubic root of 742627407 is about 905.5734009545.

The spelling of 742627407 in words is "seven hundred forty-two million, six hundred twenty-seven thousand, four hundred seven".