906400350 has 72 divisors (see below), whose sum is σ = 2441754432. Its totient is φ = 241056000.

The previous prime is 906400343. The next prime is 906400367. The reversal of 906400350 is 53004609.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177939 + ... + 182961.

It is an arithmetic number, because the mean of its divisors is an integer number (33913256).

Almost surely, 2^906400350 is an apocalyptic number.

906400350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 906400350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220877216).

906400350 is an abundant number, since it is smaller than the sum of its proper divisors (1535354082).

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

906400350 is a wasteful number, since it uses less digits than its factorization.

906400350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 906400350 is about 30106.4835209959. The cubic root of 906400350 is about 967.7726731796.

Adding to 906400350 its reverse (53004609), we get a palindrome (959404959).

The spelling of 906400350 in words is "nine hundred six million, four hundred thousand, three hundred fifty".