406330046400 has 336 divisors, whose sum is σ = 1357007931648. Its totient is φ = 106423296000.

The previous prime is 406330046399. The next prime is 406330046407. The reversal of 406330046400 is 4640033604.

406330046400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (406330046407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95762679 + ... + 95766921.

Almost surely, 2^406330046400 is an apocalyptic number.

406330046400 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 406330046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678503965824).

406330046400 is an abundant number, since it is smaller than the sum of its proper divisors (950677885248).

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

406330046400 is a wasteful number, since it uses less digits than its factorization.

406330046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 406330046400 in words is "four hundred six billion, three hundred thirty million, forty-six thousand, four hundred".