477674064 has 160 divisors (see below), whose sum is σ = 1579779840. Its totient is φ = 135364608.

The previous prime is 477674059. The next prime is 477674101. The reversal of 477674064 is 460476774.

It is a super-2 number, since 2×477674064² = 456345022836552192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413712 + ... + 414864.

It is an arithmetic number, because the mean of its divisors is an integer number (9873624).

Almost surely, 2^477674064 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 477674064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789889920).

477674064 is an abundant number, since it is smaller than the sum of its proper divisors (1102105776).

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

477674064 is a wasteful number, since it uses less digits than its factorization.

477674064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 477674064 is about 21855.7558551517. The cubic root of 477674064 is about 781.7067950135.

It can be divided in two parts, 477 and 674064, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 477674064 in words is "four hundred seventy-seven million, six hundred seventy-four thousand, sixty-four".