401740080 has 320 divisors, whose sum is σ = 1530759168. Its totient is φ = 85155840.

The previous prime is 401740063. The next prime is 401740091. The reversal of 401740080 is 80047104.

It is a super-2 number, since 2×401740080² = 322790183756812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401740080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429540 + ... + 1429820.

Almost surely, 2^401740080 is an apocalyptic number.

401740080 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 401740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765379584).

401740080 is an abundant number, since it is smaller than the sum of its proper divisors (1129019088).

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

401740080 is a wasteful number, since it uses less digits than its factorization.

401740080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 401740080 is about 20043.4547920262. The cubic root of 401740080 is about 737.8731724388.

Adding to 401740080 its reverse (80047104), we get a palindrome (481787184).

The spelling of 401740080 in words is "four hundred one million, seven hundred forty thousand, eighty".