742006401 has 16 divisors (see below), whose sum is σ = 1000716288. Its totient is φ = 489013200.

The previous prime is 742006387. The next prime is 742006417. The reversal of 742006401 is 104600247.

It is not a de Polignac number, because 742006401 - 2⁶ = 742006337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742006301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103020 + ... + 109986.

It is an arithmetic number, because the mean of its divisors is an integer number (62544768).

Almost surely, 2^742006401 is an apocalyptic number.

It is an amenable number.

742006401 is a deficient number, since it is larger than the sum of its proper divisors (258709887).

742006401 is a wasteful number, since it uses less digits than its factorization.

742006401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372.

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

The square root of 742006401 is about 27239.7944375504. The cubic root of 742006401 is about 905.3209085478.

Adding to 742006401 its reverse (104600247), we get a palindrome (846606648).

It can be divided in two parts, 74200 and 6401, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 742006401 in words is "seven hundred forty-two million, six thousand, four hundred one".