30476400 has 120 divisors (see below), whose sum is σ = 98944560. Its totient is φ = 8017920.

The previous prime is 30476387. The next prime is 30476443. The reversal of 30476400 is 467403.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 130684 + ... + 130916.

It is an arithmetic number, because the mean of its divisors is an integer number (824538).

Almost surely, 2^30476400 is an apocalyptic number.

30476400 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 30476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472280).

30476400 is an abundant number, since it is smaller than the sum of its proper divisors (68468160).

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

30476400 is a wasteful number, since it uses less digits than its factorization.

30476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30476400 is about 5520.5434515091. The cubic root of 30476400 is about 312.3593820679.

It can be divided in two parts, 30476 and 400, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 30476400 in words is "thirty million, four hundred seventy-six thousand, four hundred".