414920272 has 40 divisors (see below), whose sum is σ = 873737480. Its totient is φ = 189734400.

The previous prime is 414920263. The next prime is 414920281. The reversal of 414920272 is 272029414.

It is an interprime number because it is at equal distance from previous prime (414920263) and next prime (414920281).

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 414366736 = 744^2 + 20356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13522 + ... + 31822.

It is an arithmetic number, because the mean of its divisors is an integer number (21843437).

Almost surely, 2^414920272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436868740).

414920272 is an abundant number, since it is smaller than the sum of its proper divisors (458817208).

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

414920272 is a wasteful number, since it uses less digits than its factorization.

414920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18431 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 414920272 is about 20369.5918466718. The cubic root of 414920272 is about 745.8558229423.

Adding to 414920272 its reverse (272029414), we get a palindrome (686949686).

The spelling of 414920272 in words is "four hundred fourteen million, nine hundred twenty thousand, two hundred seventy-two".