477478000 has 80 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 189792000.

The previous prime is 477477991. The next prime is 477478003. The reversal of 477478000 is 874774.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477478003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361341 + ... + 362659.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2^477478000 is an apocalyptic number.

477478000 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 477478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

477478000 is an abundant number, since it is smaller than the sum of its proper divisors (684322640).

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

477478000 is a wasteful number, since it uses less digits than its factorization.

477478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 477478000 is about 21851.2699859756. The cubic root of 477478000 is about 781.5998283970.

The spelling of 477478000 in words is "four hundred seventy-seven million, four hundred seventy-eight thousand".