416720640 has 288 divisors, whose sum is σ = 1565867520. Its totient is φ = 92454912.

The previous prime is 416720621. The next prime is 416720641. The reversal of 416720640 is 46027614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416720598 and 416720607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416720641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994351 + ... + 994769.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^416720640 is an apocalyptic number.

416720640 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 416720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

416720640 is an abundant number, since it is smaller than the sum of its proper divisors (1149146880).

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

416720640 is a wasteful number, since it uses less digits than its factorization.

416720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 416720640 is about 20413.7365516458. The cubic root of 416720640 is about 746.9330398807.

The spelling of 416720640 in words is "four hundred sixteen million, seven hundred twenty thousand, six hundred forty".