419736401 has 24 divisors (see below), whose sum is σ = 511632000. Its totient is φ = 342879264.

The previous prime is 419736389. The next prime is 419736413. The reversal of 419736401 is 104637914.

It is an interprime number because it is at equal distance from previous prime (419736389) and next prime (419736413).

It is not a de Polignac number, because 419736401 - 2⁶ = 419736337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419736431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110390 + ... + 114128.

It is an arithmetic number, because the mean of its divisors is an integer number (21318000).

Almost surely, 2^419736401 is an apocalyptic number.

It is an amenable number.

419736401 is a deficient number, since it is larger than the sum of its proper divisors (91895599).

419736401 is a wasteful number, since it uses less digits than its factorization.

419736401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 419736401 is about 20487.4693654438. The cubic root of 419736401 is about 748.7305345631.

The spelling of 419736401 in words is "four hundred nineteen million, seven hundred thirty-six thousand, four hundred one".