30898400 has 72 divisors (see below), whose sum is σ = 81260424. Its totient is φ = 11404800.

The previous prime is 30898337. The next prime is 30898403. The reversal of 30898400 is 489803.

It is a super-2 number, since 2×30898400² = 1909422245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30898403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8915 + ... + 11885.

It is an arithmetic number, because the mean of its divisors is an integer number (1128617).

Almost surely, 2^30898400 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 30898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40630212).

30898400 is an abundant number, since it is smaller than the sum of its proper divisors (50362024).

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

30898400 is a wasteful number, since it uses less digits than its factorization.

30898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 30898400 is about 5558.6329254593. The cubic root of 30898400 is about 313.7945022403.

The spelling of 30898400 in words is "thirty million, eight hundred ninety-eight thousand, four hundred".