416501020 has 144 divisors (see below), whose sum is σ = 1048436928. Its totient is φ = 137871360.

The previous prime is 416501009. The next prime is 416501021. The reversal of 416501020 is 20105614.

It is a super-2 number, since 2×416501020² = 346946199322080800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416501021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728100 + ... + 1728340.

It is an arithmetic number, because the mean of its divisors is an integer number (7280812).

Almost surely, 2^416501020 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 416501020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524218464).

416501020 is an abundant number, since it is smaller than the sum of its proper divisors (631935908).

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

416501020 is a wasteful number, since it uses less digits than its factorization.

416501020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 416501020 is about 20408.3566217371. The cubic root of 416501020 is about 746.8018006727.

Adding to 416501020 its reverse (20105614), we get a palindrome (436606634).

The spelling of 416501020 in words is "four hundred sixteen million, five hundred one thousand, twenty".