464012416 has 128 divisors (see below), whose sum is σ = 1147426560. Its totient is φ = 182353920.

The previous prime is 464012369. The next prime is 464012429. The reversal of 464012416 is 614210464.

464012416 is a nontrivial binomial coefficient, being equal to C(30464, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624141 + ... + 624883.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2^464012416 is an apocalyptic number.

464012416 is the 30463-rd triangular number and also the 15232-nd hexagonal number.

464012416 is the 10155-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

464012416 is an abundant number, since it is smaller than the sum of its proper divisors (683414144).

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

464012416 is a wasteful number, since it uses less digits than its factorization.

464012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 464012416 is about 21540.9474257749. The cubic root of 464012416 is about 774.1822333520.

The spelling of 464012416 in words is "four hundred sixty-four million, twelve thousand, four hundred sixteen".