477071400 has 192 divisors, whose sum is σ = 1644894720. Its totient is φ = 113587200.

The previous prime is 477071393. The next prime is 477071407. The reversal of 477071400 is 4170774.

It is an interprime number because it is at equal distance from previous prime (477071393) and next prime (477071407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477071407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 240814 + ... + 242786.

It is an arithmetic number, because the mean of its divisors is an integer number (8567160).

Almost surely, 2^477071400 is an apocalyptic number.

477071400 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 477071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822447360).

477071400 is an abundant number, since it is smaller than the sum of its proper divisors (1167823320).

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

477071400 is a wasteful number, since it uses less digits than its factorization.

477071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 477071400 is about 21841.9641973885. The cubic root of 477071400 is about 781.3779063114.

The spelling of 477071400 in words is "four hundred seventy-seven million, seventy-one thousand, four hundred".