401429408 has 12 divisors (see below), whose sum is σ = 790314210. Its totient is φ = 200714688.

The previous prime is 401429407. The next prime is 401429429. The reversal of 401429408 is 804924104.

It can be written as a sum of positive squares in only one way, i.e., 219395344 + 182034064 = 14812^2 + 13492^2 .

It is a super-2 number, since 2×401429408² = 322291139214460928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12544669 = 401429408 / (4 + 0 + 1 + 4 + 2 + 9 + 4 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (401429407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6272303 + ... + 6272366.

Almost surely, 2^401429408 is an apocalyptic number.

It is an amenable number.

401429408 is a deficient number, since it is larger than the sum of its proper divisors (388884802).

401429408 is a wasteful number, since it uses less digits than its factorization.

401429408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544679 (or 12544671 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 401429408 is about 20035.7033318025. The cubic root of 401429408 is about 737.6829203648.

The spelling of 401429408 in words is "four hundred one million, four hundred twenty-nine thousand, four hundred eight".