462047040 has 672 divisors, whose sum is σ = 2050304256. Its totient is φ = 92897280.

The previous prime is 462047039. The next prime is 462047059. The reversal of 462047040 is 40740264.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 462046995 and 462047013.

It is a congruent 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, 10745259 + ... + 10745301.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2^462047040 is an apocalyptic number.

462047040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025152128).

462047040 is an abundant number, since it is smaller than the sum of its proper divisors (1588257216).

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

462047040 is a wasteful number, since it uses less digits than its factorization.

462047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

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

The square root of 462047040 is about 21495.2794817839. The cubic root of 462047040 is about 773.0876415967.

The spelling of 462047040 in words is "four hundred sixty-two million, forty-seven thousand, forty".