416463120 has 280 divisors, whose sum is σ = 1498712856. Its totient is φ = 107495424.

The previous prime is 416463101. The next prime is 416463121. The reversal of 416463120 is 21364614.

416463120 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 631 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 349091856 = 8208^2 + 18684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (416463121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2157744 + ... + 2157936.

Almost surely, 2^416463120 is an apocalyptic number.

416463120 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 416463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749356428).

416463120 is an abundant number, since it is smaller than the sum of its proper divisors (1082249736).

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

416463120 is a wasteful number, since it uses less digits than its factorization.

416463120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416463120 is about 20407.4280594101. The cubic root of 416463120 is about 746.7791479496.

The spelling of 416463120 in words is "four hundred sixteen million, four hundred sixty-three thousand, one hundred twenty".