407049216 has 176 divisors, whose sum is σ = 1295407104. Its totient is φ = 111108096.

The previous prime is 407049197. The next prime is 407049233. The reversal of 407049216 is 612940704.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494181 + ... + 495003.

Almost surely, 2^407049216 is an apocalyptic number.

407049216 is a gapful number since it is divisible by the number (46) 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 407049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647703552).

407049216 is an abundant number, since it is smaller than the sum of its proper divisors (888357888).

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

407049216 is a wasteful number, since it uses less digits than its factorization.

407049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 407049216 is about 20175.4607382335. The cubic root of 407049216 is about 741.1093757295.

The spelling of 407049216 in words is "four hundred seven million, forty-nine thousand, two hundred sixteen".