474635403264 has 256 divisors, whose sum is σ = 1418173205760. Its totient is φ = 139929845760.

The previous prime is 474635403259. The next prime is 474635403287. The reversal of 474635403264 is 462304536474.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40003797 + ... + 40015659.

It is an arithmetic number, because the mean of its divisors is an integer number (5539739085).

Almost surely, 2^474635403264 is an apocalyptic number.

474635403264 is a gapful number since it is divisible by the number (44) 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 474635403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709086602880).

474635403264 is an abundant number, since it is smaller than the sum of its proper divisors (943537802496).

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

474635403264 is a wasteful number, since it uses less digits than its factorization.

474635403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11916 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 474635403264 in words is "four hundred seventy-four billion, six hundred thirty-five million, four hundred three thousand, two hundred sixty-four".