30401000 has 128 divisors (see below), whose sum is σ = 84015360. Its totient is φ = 10080000.

The previous prime is 30400999. The next prime is 30401003. The reversal of 30401000 is 10403.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (30401003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300950 + ... + 301050.

It is an arithmetic number, because the mean of its divisors is an integer number (656370).

Almost surely, 2^30401000 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 30401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42007680).

30401000 is an abundant number, since it is smaller than the sum of its proper divisors (53614360).

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

30401000 is a wasteful number, since it uses less digits than its factorization.

30401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 30401000 is about 5513.7101846216. The cubic root of 30401000 is about 312.1015722329.

Adding to 30401000 its reverse (10403), we get a palindrome (30411403).

The spelling of 30401000 in words is "thirty million, four hundred one thousand".