401001678 has 320 divisors, whose sum is σ = 1244491776. Its totient is φ = 93312000.

The previous prime is 401001677. The next prime is 401001691. The reversal of 401001678 is 876100104.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401001677) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6573768 + ... + 6573828.

Almost surely, 2^401001678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401001678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

401001678 is an abundant number, since it is smaller than the sum of its proper divisors (843490098).

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

401001678 is a wasteful number, since it uses less digits than its factorization.

401001678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 401001678 is about 20025.0262921176. The cubic root of 401001678 is about 737.4208226021.

The spelling of 401001678 in words is "four hundred one million, one thousand, six hundred seventy-eight".