416242040 has 64 divisors (see below), whose sum is σ = 993418560. Its totient is φ = 156625920.

The previous prime is 416242039. The next prime is 416242061. The reversal of 416242040 is 40242614.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 416241997 and 416242015.

It is a congruent number.

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, 52412 + ... + 59828.

It is an arithmetic number, because the mean of its divisors is an integer number (15522165).

Almost surely, 2^416242040 is an apocalyptic number.

416242040 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 416242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496709280).

416242040 is an abundant number, since it is smaller than the sum of its proper divisors (577176520).

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

416242040 is a wasteful number, since it uses less digits than its factorization.

416242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 416242040 is about 20402.0106852241. The cubic root of 416242040 is about 746.6469816593.

Adding to 416242040 its reverse (40242614), we get a palindrome (456484654).

The spelling of 416242040 in words is "four hundred sixteen million, two hundred forty-two thousand, forty".