30374400 has 240 divisors, whose sum is σ = 115689024. Its totient is φ = 6881280.

The previous prime is 30374381. The next prime is 30374423. The reversal of 30374400 is 447303.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268744 + ... + 268856.

Almost surely, 2^30374400 is an apocalyptic number.

30374400 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 30374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

30374400 is an abundant number, since it is smaller than the sum of its proper divisors (85314624).

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

30374400 is a wasteful number, since it uses less digits than its factorization.

30374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 30374400 is about 5511.2974878879. The cubic root of 30374400 is about 312.0105190405.

The spelling of 30374400 in words is "thirty million, three hundred seventy-four thousand, four hundred".