414604540 has 48 divisors (see below), whose sum is σ = 1027160064. Its totient is φ = 137563200.

The previous prime is 414604537. The next prime is 414604543. The reversal of 414604540 is 45406414.

It is an interprime number because it is at equal distance from previous prime (414604537) and next prime (414604543).

It is a super-2 number, since 2×414604540² = 343793849177223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 414604499 and 414604508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414604543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43426 + ... + 52105.

It is an arithmetic number, because the mean of its divisors is an integer number (21399168).

Almost surely, 2^414604540 is an apocalyptic number.

It is an amenable number.

414604540 is an abundant number, since it is smaller than the sum of its proper divisors (612555524).

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

414604540 is a wasteful number, since it uses less digits than its factorization.

414604540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95578 (or 95576 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 414604540 is about 20361.8402901113. The cubic root of 414604540 is about 745.6665895532. Note that the first 3 decimals are identical.

The spelling of 414604540 in words is "four hundred fourteen million, six hundred four thousand, five hundred forty".