476761600 has 240 divisors, whose sum is σ = 1433935008. Its totient is φ = 153354240.

The previous prime is 476761469. The next prime is 476761601. The reversal of 476761600 is 6167674.

It is a self number, because there is not a number n which added to its sum of digits gives 476761600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476761601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523044 + ... + 1523356.

Almost surely, 2^476761600 is an apocalyptic number.

476761600 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 476761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716967504).

476761600 is an abundant number, since it is smaller than the sum of its proper divisors (957173408).

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

476761600 is a wasteful number, since it uses less digits than its factorization.

476761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 476761600 is about 21834.8711926588. The cubic root of 476761600 is about 781.2087329669.

It can be divided in two parts, 476 and 761600, that multiplied together give a square (362521600 = 19040²).

The spelling of 476761600 in words is "four hundred seventy-six million, seven hundred sixty-one thousand, six hundred".