30791400 has 192 divisors, whose sum is σ = 104606400. Its totient is φ = 7464960.

The previous prime is 30791399. The next prime is 30791407. The reversal of 30791400 is 419703.

It is a Cunningham number, because it is equal to 5549²-1.

It is a super-2 number, since 2×30791400² = 1896220627920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30791407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421764 + ... + 421836.

It is an arithmetic number, because the mean of its divisors is an integer number (544825).

Almost surely, 2^30791400 is an apocalyptic number.

30791400 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 30791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303200).

30791400 is an abundant number, since it is smaller than the sum of its proper divisors (73815000).

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

30791400 is a wasteful number, since it uses less digits than its factorization.

30791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 30791400 is about 5548.9999098937. Note that the first 4 decimals coincide. The cubic root of 30791400 is about 313.4318637869.

The spelling of 30791400 in words is "thirty million, seven hundred ninety-one thousand, four hundred".