464498845491408 has 320 divisors, whose sum is σ = 1514363714519040. Its totient is φ = 119432656797696.

The previous prime is 464498845491397. The next prime is 464498845491463. The reversal of 464498845491408 is 804194548894464.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20206273 + ... + 36568991.

It is an arithmetic number, because the mean of its divisors is an integer number (4732386607872).

Almost surely, 2^{464498845491408} is an apocalyptic number.

464498845491408 is a gapful number since it is divisible by the number (48) 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 464498845491408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757181857259520).

464498845491408 is an abundant number, since it is smaller than the sum of its proper divisors (1049864869027632).

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

464498845491408 is a wasteful number, since it uses less digits than its factorization.

464498845491408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16362914 (or 16362908 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 78.

The spelling of 464498845491408 in words is "four hundred sixty-four trillion, four hundred ninety-eight billion, eight hundred forty-five million, four hundred ninety-one thousand, four hundred eight".