401930100 has 360 divisors, whose sum is σ = 1535089248. Its totient is φ = 89683200.

The previous prime is 401930069. The next prime is 401930107. The reversal of 401930100 is 1039104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401930107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1158127 + ... + 1158473.

Almost surely, 2^401930100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767544624).

401930100 is an abundant number, since it is smaller than the sum of its proper divisors (1133159148).

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

401930100 is a wasteful number, since it uses less digits than its factorization.

401930100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 401930100 is about 20048.1944324171. The cubic root of 401930100 is about 737.9894902330.

Adding to 401930100 its reverse (1039104), we get a palindrome (402969204).

The spelling of 401930100 in words is "four hundred one million, nine hundred thirty thousand, one hundred".