414462540 has 48 divisors (see below), whose sum is σ = 1161957888. Its totient is φ = 110384064.

The previous prime is 414462463. The next prime is 414462541. The reversal of 414462540 is 45264414.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 414462498 and 414462507.

It is not an unprimeable number, because it can be changed into a prime (414462541) 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, 49069 + ... + 56891.

It is an arithmetic number, because the mean of its divisors is an integer number (24207456).

Almost surely, 2^414462540 is an apocalyptic number.

It is an amenable number.

414462540 is an abundant number, since it is smaller than the sum of its proper divisors (747495348).

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

414462540 is a wasteful number, since it uses less digits than its factorization.

414462540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 414462540 is about 20358.3530768085. The cubic root of 414462540 is about 745.5814507955.

The spelling of 414462540 in words is "four hundred fourteen million, four hundred sixty-two thousand, five hundred forty".