462440606040 has 192 divisors, whose sum is σ = 1725778978560. Its totient is φ = 105199637760.

The previous prime is 462440606039. The next prime is 462440606063. The reversal of 462440606040 is 40606044264.

It is a happy number.

462440606040 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 4 + 0 + 606 + 0 + 40 = 666.

It is a super-2 number, since 2×462440606040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 462440605986 and 462440606004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96867 + ... + 966573.

It is an arithmetic number, because the mean of its divisors is an integer number (8988432180).

Almost surely, 2^462440606040 is an apocalyptic number.

462440606040 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 462440606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862889489280).

462440606040 is an abundant number, since it is smaller than the sum of its proper divisors (1263338372520).

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

462440606040 is a wasteful number, since it uses less digits than its factorization.

462440606040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869942 (or 869935 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 462440606040 in words is "four hundred sixty-two billion, four hundred forty million, six hundred six thousand, forty".