461207040 has 320 divisors, whose sum is σ = 1763030016. Its totient is φ = 100564992.

The previous prime is 461207003. The next prime is 461207051. The reversal of 461207040 is 40702164.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 461207040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236294 + ... + 1236666.

Almost surely, 2^461207040 is an apocalyptic number.

461207040 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 461207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881515008).

461207040 is an abundant number, since it is smaller than the sum of its proper divisors (1301822976).

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

461207040 is a wasteful number, since it uses less digits than its factorization.

461207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 461207040 is about 21475.7314194418. The cubic root of 461207040 is about 772.6188671413.

The spelling of 461207040 in words is "four hundred sixty-one million, two hundred seven thousand, forty".