464249016 has 256 divisors, whose sum is σ = 1629388800. Its totient is φ = 118972800.

The previous prime is 464249011. The next prime is 464249029. The reversal of 464249016 is 610942464.

464249016 is a `hidden beast` number, since 4 + 642 + 4 + 9 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464249011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712961 + ... + 1713231.

It is an arithmetic number, because the mean of its divisors is an integer number (6364800).

Almost surely, 2^464249016 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 464249016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814694400).

464249016 is an abundant number, since it is smaller than the sum of its proper divisors (1165139784).

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

464249016 is a wasteful number, since it uses less digits than its factorization.

464249016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 464249016 is about 21546.4385920272. The cubic root of 464249016 is about 774.3137962052.

The spelling of 464249016 in words is "four hundred sixty-four million, two hundred forty-nine thousand, sixteen".