401973840 has 400 divisors, whose sum is σ = 1531308240. Its totient is φ = 97320960.

The previous prime is 401973821. The next prime is 401973841. The reversal of 401973840 is 48379104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52881984 + 349091856 = 7272^2 + 18684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401973795 and 401973804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401973841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4516516 + ... + 4516604.

Almost surely, 2^401973840 is an apocalyptic number.

401973840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765654120).

401973840 is an abundant number, since it is smaller than the sum of its proper divisors (1129334400).

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

401973840 is a wasteful number, since it uses less digits than its factorization.

401973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 401973840 is about 20049.2852740441. The cubic root of 401973840 is about 738.0162598044.

The spelling of 401973840 in words is "four hundred one million, nine hundred seventy-three thousand, eight hundred forty".