350451230400 has 840 divisors, whose sum is σ = 1400014837760. Its totient is φ = 85660416000.

The previous prime is 350451230399. The next prime is 350451230407. The reversal of 350451230400 is 4032154053.

350451230400 is a `hidden beast` number, since 350 + 4 + 5 + 1 + 2 + 304 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350451230407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76332105 + ... + 76336695.

Almost surely, 2^350451230400 is an apocalyptic number.

350451230400 is a gapful number since it is divisible by the number (30) 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 350451230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700007418880).

350451230400 is an abundant number, since it is smaller than the sum of its proper divisors (1049563607360).

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

350451230400 is a wasteful number, since it uses less digits than its factorization.

350451230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 350451230400 its reverse (4032154053), we get a palindrome (354483384453).

The spelling of 350451230400 in words is "three hundred fifty billion, four hundred fifty-one million, two hundred thirty thousand, four hundred".