462401011007408 has 160 divisors (see below), whose sum is σ = 1052484967008000. Its totient is φ = 194446039285760.

The previous prime is 462401011007393. The next prime is 462401011007437. The reversal of 462401011007408 is 804700110104264.

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 31 ways as a sum of consecutive naturals, for example, 1810873088 + ... + 1811128416.

It is an arithmetic number, because the mean of its divisors is an integer number (6578031043800).

Almost surely, 2^{462401011007408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462401011007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526242483504000).

462401011007408 is an abundant number, since it is smaller than the sum of its proper divisors (590083956000592).

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

462401011007408 is a wasteful number, since it uses less digits than its factorization.

462401011007408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265683 (or 265677 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 462401011007408 in words is "four hundred sixty-two trillion, four hundred one billion, eleven million, seven thousand, four hundred eight".