464054279001600 has 960 divisors, whose sum is σ = 1767523310125056. Its totient is φ = 105129622241280.

The previous prime is 464054279001581. The next prime is 464054279001613. The reversal of 464054279001600 is 6100972450464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 464054279001600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37312390582 + ... + 37312403018.

Almost surely, 2^{464054279001600} is an apocalyptic number.

464054279001600 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 464054279001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883761655062528).

464054279001600 is an abundant number, since it is smaller than the sum of its proper divisors (1303469031123456).

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

464054279001600 is a wasteful number, since it uses less digits than its factorization.

464054279001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13695 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 464054279001600 in words is "four hundred sixty-four trillion, fifty-four billion, two hundred seventy-nine million, one thousand, six hundred".