414020319 has 16 divisors (see below), whose sum is σ = 556634112. Its totient is φ = 273719808.

The previous prime is 414020293. The next prime is 414020333. The reversal of 414020319 is 913020414.

It is not a de Polignac number, because 414020319 - 2¹² = 414016223 is a prime.

It is a super-2 number, since 2×414020319² = 342825649089723522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220824 + ... + 222690.

It is an arithmetic number, because the mean of its divisors is an integer number (34789632).

Almost surely, 2^414020319 is an apocalyptic number.

414020319 is a deficient number, since it is larger than the sum of its proper divisors (142613793).

414020319 is a wasteful number, since it uses less digits than its factorization.

414020319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 414020319 is about 20347.4892554339. The cubic root of 414020319 is about 745.3161842739.

The spelling of 414020319 in words is "four hundred fourteen million, twenty thousand, three hundred nineteen".