416486400 has 528 divisors, whose sum is σ = 1644805440. Its totient is φ = 91750400.

The previous prime is 416486381. The next prime is 416486401. The reversal of 416486400 is 4684614.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416486401) 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, 14361586 + ... + 14361614.

Almost surely, 2^416486400 is an apocalyptic number.

416486400 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 416486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822402720).

416486400 is an abundant number, since it is smaller than the sum of its proper divisors (1228319040).

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

416486400 is a wasteful number, since it uses less digits than its factorization.

416486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 416486400 is about 20407.9984319874. The cubic root of 416486400 is about 746.7930625027.

The spelling of 416486400 in words is "four hundred sixteen million, four hundred eighty-six thousand, four hundred".