401829120 has 576 divisors, whose sum is σ = 1789562880. Its totient is φ = 82944000.

The previous prime is 401829107. The next prime is 401829121. The reversal of 401829120 is 21928104.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×401829120² = 322933283359948800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401829121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661045 + ... + 2661195.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^401829120 is an apocalyptic number.

401829120 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 401829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894781440).

401829120 is an abundant number, since it is smaller than the sum of its proper divisors (1387733760).

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

401829120 is a wasteful number, since it uses less digits than its factorization.

401829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

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

The square root of 401829120 is about 20045.6758429343. The cubic root of 401829120 is about 737.9276814587.

The spelling of 401829120 in words is "four hundred one million, eight hundred twenty-nine thousand, one hundred twenty".