477467314051000 has 2304 divisors, whose sum is σ = 1527404420505600. Its totient is φ = 138821050368000.

The previous prime is 477467314050929. The next prime is 477467314051003. The reversal of 477467314051000 is 150413764774.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477467314051003) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1139540128791 + ... + 1139540129209.

It is an arithmetic number, because the mean of its divisors is an integer number (662935946400).

Almost surely, 2^{477467314051000} is an apocalyptic number.

477467314051000 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 477467314051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763702210252800).

477467314051000 is an abundant number, since it is smaller than the sum of its proper divisors (1049937106454600).

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

477467314051000 is a wasteful number, since it uses less digits than its factorization.

477467314051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 477467314051000 in words is "four hundred seventy-seven trillion, four hundred sixty-seven billion, three hundred fourteen million, fifty-one thousand".