30290400 has 216 divisors, whose sum is σ = 122273424. Its totient is φ = 6912000.

The previous prime is 30290371. The next prime is 30290411. The reversal of 30290400 is 409203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50100 + ... + 50700.

Almost surely, 2^30290400 is an apocalyptic number.

30290400 is a gapful number since it is divisible by the number (30) 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 30290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61136712).

30290400 is an abundant number, since it is smaller than the sum of its proper divisors (91983024).

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

30290400 is a wasteful number, since it uses less digits than its factorization.

30290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30290400 is about 5503.6715018249. The cubic root of 30290400 is about 311.7226331794.

Adding to 30290400 its reverse (409203), we get a palindrome (30699603).

The spelling of 30290400 in words is "thirty million, two hundred ninety thousand, four hundred".