401129280 has 224 divisors, whose sum is σ = 1498884480. Its totient is φ = 100638720.

The previous prime is 401129279. The next prime is 401129341. The reversal of 401129280 is 82921104.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145515 + ... + 148245.

Almost surely, 2^401129280 is an apocalyptic number.

401129280 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 401129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749442240).

401129280 is an abundant number, since it is smaller than the sum of its proper divisors (1097755200).

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

401129280 is a wasteful number, since it uses less digits than its factorization.

401129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 401129280 is about 20028.2121019326. The cubic root of 401129280 is about 737.4990320776.

The spelling of 401129280 in words is "four hundred one million, one hundred twenty-nine thousand, two hundred eighty".