842080401 has 16 divisors (see below), whose sum is σ = 1262560320. Its totient is φ = 554621760.

The previous prime is 842080381. The next prime is 842080409. The reversal of 842080401 is 104080248.

842080401 = T₄₄₆₃ + T₄₄₆₄ + ... + T₄₅₄₅.

It is a de Polignac number, because none of the positive numbers 2^k-842080401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (842080409) 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, 185640 + ... + 190121.

It is an arithmetic number, because the mean of its divisors is an integer number (78910020).

Almost surely, 2^842080401 is an apocalyptic number.

It is an amenable number.

842080401 is a deficient number, since it is larger than the sum of its proper divisors (420479919).

842080401 is a wasteful number, since it uses less digits than its factorization.

842080401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375853 (or 375847 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 842080401 is about 29018.6216247430. The cubic root of 842080401 is about 944.3170979541.

The spelling of 842080401 in words is "eight hundred forty-two million, eighty thousand, four hundred one".