461828640 has 384 divisors, whose sum is σ = 1825528320. Its totient is φ = 95551488.

The previous prime is 461828639. The next prime is 461828657. The reversal of 461828640 is 46828164.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4236906 + ... + 4237014.

It is an arithmetic number, because the mean of its divisors is an integer number (4753980).

Almost surely, 2^461828640 is an apocalyptic number.

461828640 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 461828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912764160).

461828640 is an abundant number, since it is smaller than the sum of its proper divisors (1363699680).

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

461828640 is a wasteful number, since it uses less digits than its factorization.

461828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 461828640 is about 21490.1986961498. The cubic root of 461828640 is about 772.9658149312.

The spelling of 461828640 in words is "four hundred sixty-one million, eight hundred twenty-eight thousand, six hundred forty".