401849280 has 336 divisors, whose sum is σ = 1633142784. Its totient is φ = 88750080.

The previous prime is 401849237. The next prime is 401849291. The reversal of 401849280 is 82948104.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×401849280² = 322965687673036800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624639 + ... + 625281.

It is an arithmetic number, because the mean of its divisors is an integer number (4860544).

Almost surely, 2^401849280 is an apocalyptic number.

401849280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

401849280 is the 11574-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816571392).

401849280 is an abundant number, since it is smaller than the sum of its proper divisors (1231293504).

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

401849280 is a wasteful number, since it uses less digits than its factorization.

401849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 401849280 is about 20046.1786882189. The cubic root of 401849280 is about 737.9400220056.

The spelling of 401849280 in words is "four hundred one million, eight hundred forty-nine thousand, two hundred eighty".