477335040 has 320 divisors, whose sum is σ = 1880879616. Its totient is φ = 100564992.

The previous prime is 477335017. The next prime is 477335051. The reversal of 477335040 is 40533774.

It is a tau number, because it is divible by the number of its divisors (320).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 477334992 and 477335010.

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, 698539 + ... + 699221.

Almost surely, 2^477335040 is an apocalyptic number.

477335040 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 477335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940439808).

477335040 is an abundant number, since it is smaller than the sum of its proper divisors (1403544576).

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

477335040 is a wasteful number, since it uses less digits than its factorization.

477335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 477335040 is about 21847.9985353350. The cubic root of 477335040 is about 781.5218152634.

The spelling of 477335040 in words is "four hundred seventy-seven million, three hundred thirty-five thousand, forty".