400466430 has 192 divisors, whose sum is σ = 1329689088. Its totient is φ = 84447360.

The previous prime is 400466419. The next prime is 400466441. The reversal of 400466430 is 34664004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400466419) and next prime (400466441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400466394 and 400466403.

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, 220225 + ... + 222035.

It is an arithmetic number, because the mean of its divisors is an integer number (6925464).

Almost surely, 2^400466430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400466430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664844544).

400466430 is an abundant number, since it is smaller than the sum of its proper divisors (929222658).

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

400466430 is a wasteful number, since it uses less digits than its factorization.

400466430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 400466430 is about 20011.6573526532. The cubic root of 400466430 is about 737.0925789512.

The spelling of 400466430 in words is "four hundred million, four hundred sixty-six thousand, four hundred thirty".