414073830 has 64 divisors (see below), whose sum is σ = 1039703040. Its totient is φ = 105342336.

The previous prime is 414073823. The next prime is 414073837. The reversal of 414073830 is 38370414.

It is an interprime number because it is at equal distance from previous prime (414073823) and next prime (414073837).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414073837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450111 + ... + 451029.

It is an arithmetic number, because the mean of its divisors is an integer number (16245360).

Almost surely, 2^414073830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414073830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519851520).

414073830 is an abundant number, since it is smaller than the sum of its proper divisors (625629210).

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

414073830 is a wasteful number, since it uses less digits than its factorization.

414073830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 414073830 is about 20348.8041417672. The cubic root of 414073830 is about 745.3482929204.

The spelling of 414073830 in words is "four hundred fourteen million, seventy-three thousand, eight hundred thirty".