416286720 has 144 divisors (see below), whose sum is σ = 1443094380. Its totient is φ = 110985216.

The previous prime is 416286719. The next prime is 416286727. The reversal of 416286720 is 27682614.

416286720 is a `hidden beast` number, since 4 + 1 + 628 + 6 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343286784 + 72999936 = 18528^2 + 8544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (416286727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89902 + ... + 94418.

Almost surely, 2^416286720 is an apocalyptic number.

416286720 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 416286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721547190).

416286720 is an abundant number, since it is smaller than the sum of its proper divisors (1026807660).

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

416286720 is a wasteful number, since it uses less digits than its factorization.

416286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 416286720 is about 20403.1056459550. The cubic root of 416286720 is about 746.6736960789.

The spelling of 416286720 in words is "four hundred sixteen million, two hundred eighty-six thousand, seven hundred twenty".