431400816 has 360 divisors, whose sum is σ = 1584815232. Its totient is φ = 111196800.

The previous prime is 431400803. The next prime is 431400821. The reversal of 431400816 is 618004134.

It is a super-2 number, since 2×431400816² = 372213328090931712, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 431400816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3293071 + ... + 3293201.

Almost surely, 2^431400816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792407616).

431400816 is an abundant number, since it is smaller than the sum of its proper divisors (1153414416).

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

431400816 is a wasteful number, since it uses less digits than its factorization.

431400816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 431400816 is about 20770.1905624383. The cubic root of 431400816 is about 755.6029661266.

The spelling of 431400816 in words is "four hundred thirty-one million, four hundred thousand, eight hundred sixteen".