414355230 has 192 divisors, whose sum is σ = 1215648000. Its totient is φ = 100123776.

The previous prime is 414355217. The next prime is 414355231. The reversal of 414355230 is 32553414.

414355230 is a `hidden beast` number, since 41 + 43 + 552 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414355194 and 414355203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414355231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7022941 + ... + 7022999.

It is an arithmetic number, because the mean of its divisors is an integer number (6331500).

Almost surely, 2^414355230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414355230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607824000).

414355230 is an abundant number, since it is smaller than the sum of its proper divisors (801292770).

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

414355230 is a wasteful number, since it uses less digits than its factorization.

414355230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 414355230 is about 20355.7173786629. The cubic root of 414355230 is about 745.5170981751.

It can be divided in two parts, 41435 and 5230, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 414355230 in words is "four hundred fourteen million, three hundred fifty-five thousand, two hundred thirty".