462400470 has 192 divisors, whose sum is σ = 1434101760. Its totient is φ = 101170944.

The previous prime is 462400453. The next prime is 462400481. The reversal of 462400470 is 74004264.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1934611 + ... + 1934849.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^462400470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462400470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

462400470 is an abundant number, since it is smaller than the sum of its proper divisors (971701290).

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

462400470 is a wasteful number, since it uses less digits than its factorization.

462400470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 462400470 is about 21503.4990176018. The cubic root of 462400470 is about 773.2847086368.

The spelling of 462400470 in words is "four hundred sixty-two million, four hundred thousand, four hundred seventy".