465948446040 has 1152 divisors, whose sum is σ = 2048245056000. Its totient is φ = 91048366080.

The previous prime is 465948446027. The next prime is 465948446059. The reversal of 465948446040 is 40644849564.

465948446040 is a `hidden beast` number, since 4 + 6 + 594 + 8 + 4 + 4 + 6 + 0 + 40 = 666.

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 287 ways as a sum of consecutive naturals, for example, 392542327 + ... + 392543513.

It is an arithmetic number, because the mean of its divisors is an integer number (1777990500).

Almost surely, 2^465948446040 is an apocalyptic number.

465948446040 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 465948446040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024122528000).

465948446040 is an abundant number, since it is smaller than the sum of its proper divisors (1582296609960).

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

465948446040 is a wasteful number, since it uses less digits than its factorization.

465948446040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 465948446040 in words is "four hundred sixty-five billion, nine hundred forty-eight million, four hundred forty-six thousand, forty".