464012010 has 192 divisors, whose sum is σ = 1555142400. Its totient is φ = 96370560.

The previous prime is 464012009. The next prime is 464012039. The reversal of 464012010 is 10210464.

464012010 is a `hidden beast` number, since 4 + 640 + 1 + 20 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227676 + ... + 229704.

It is an arithmetic number, because the mean of its divisors is an integer number (8099700).

Almost surely, 2^464012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777571200).

464012010 is an abundant number, since it is smaller than the sum of its proper divisors (1091130390).

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

464012010 is a wasteful number, since it uses less digits than its factorization.

464012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 464012010 is about 21540.9380018606. The cubic root of 464012010 is about 774.1820075548.

Adding to 464012010 its reverse (10210464), we get a palindrome (474222474).

The spelling of 464012010 in words is "four hundred sixty-four million, twelve thousand, ten".