471904049400 has 384 divisors, whose sum is σ = 1694474880000. Its totient is φ = 106413834240.

The previous prime is 471904049387. The next prime is 471904049413. The reversal of 471904049400 is 4940409174.

It is an interprime number because it is at equal distance from previous prime (471904049387) and next prime (471904049413).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142180941 + ... + 142184259.

It is an arithmetic number, because the mean of its divisors is an integer number (4412695000).

Almost surely, 2^471904049400 is an apocalyptic number.

471904049400 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 471904049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847237440000).

471904049400 is an abundant number, since it is smaller than the sum of its proper divisors (1222570830600).

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

471904049400 is a wasteful number, since it uses less digits than its factorization.

471904049400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 471904049400 in words is "four hundred seventy-one billion, nine hundred four million, forty-nine thousand, four hundred".