416142000 has 240 divisors, whose sum is σ = 1481170080. Its totient is φ = 108864000.

The previous prime is 416141983. The next prime is 416142019. The reversal of 416142000 is 241614.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097811 + ... + 1098189.

It is an arithmetic number, because the mean of its divisors is an integer number (6171542).

Almost surely, 2^416142000 is an apocalyptic number.

416142000 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 416142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740585040).

416142000 is an abundant number, since it is smaller than the sum of its proper divisors (1065028080).

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

416142000 is a wasteful number, since it uses less digits than its factorization.

416142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 416142000 is about 20399.5588187588. The cubic root of 416142000 is about 746.5871602560.

Adding to 416142000 its reverse (241614), we get a palindrome (416383614).

The spelling of 416142000 in words is "four hundred sixteen million, one hundred forty-two thousand".