414503040 has 128 divisors (see below), whose sum is σ = 1510024320. Its totient is φ = 94740480.

The previous prime is 414503029. The next prime is 414503051. The reversal of 414503040 is 40305414.

It is an interprime number because it is at equal distance from previous prime (414503029) and next prime (414503051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 414502998 and 414503016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 28860.

It is an arithmetic number, because the mean of its divisors is an integer number (11797065).

Almost surely, 2^414503040 is an apocalyptic number.

414503040 is a gapful number since it is divisible by the number (40) 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 414503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755012160).

414503040 is an abundant number, since it is smaller than the sum of its proper divisors (1095521280).

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

414503040 is a wasteful number, since it uses less digits than its factorization.

414503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 414503040 is about 20359.3477302196. The cubic root of 414503040 is about 745.6057353105.

Adding to 414503040 its reverse (40305414), we get a palindrome (454808454).

The spelling of 414503040 in words is "four hundred fourteen million, five hundred three thousand, forty".