401430414 has 64 divisors (see below), whose sum is σ = 1004493312. Its totient is φ = 103900800.

The previous prime is 401430397. The next prime is 401430451. The reversal of 401430414 is 414034104.

It is a super-2 number, since 2×401430414² = 322292754568422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145084 + ... + 147824.

It is an arithmetic number, because the mean of its divisors is an integer number (15695208).

Almost surely, 2^401430414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401430414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502246656).

401430414 is an abundant number, since it is smaller than the sum of its proper divisors (603062898).

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

401430414 is a wasteful number, since it uses less digits than its factorization.

401430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 401430414 is about 20035.7284369698. The cubic root of 401430414 is about 737.6835365863.

Adding to 401430414 its reverse (414034104), we get a palindrome (815464518).

The spelling of 401430414 in words is "four hundred one million, four hundred thirty thousand, four hundred fourteen".