401098752 has 144 divisors (see below), whose sum is σ = 1185649920. Its totient is φ = 130572288.

The previous prime is 401098741. The next prime is 401098769. The reversal of 401098752 is 257890104.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866073 + ... + 866535.

It is an arithmetic number, because the mean of its divisors is an integer number (8233680).

Almost surely, 2^401098752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401098752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592824960).

401098752 is an abundant number, since it is smaller than the sum of its proper divisors (784551168).

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

401098752 is a wasteful number, since it uses less digits than its factorization.

401098752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 401098752 is about 20027.4499624890. The cubic root of 401098752 is about 737.4803224473.

The spelling of 401098752 in words is "four hundred one million, ninety-eight thousand, seven hundred fifty-two".