350404454400 has 2304 divisors, whose sum is σ = 1621516216320. Its totient is φ = 64408780800.

The previous prime is 350404454399. The next prime is 350404454419. The reversal of 350404454400 is 4454404053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6611404774 + ... + 6611404826.

It is an arithmetic number, because the mean of its divisors is an integer number (703783080).

Almost surely, 2^350404454400 is an apocalyptic number.

350404454400 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 350404454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810758108160).

350404454400 is an abundant number, since it is smaller than the sum of its proper divisors (1271111761920).

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

350404454400 is a wasteful number, since it uses less digits than its factorization.

350404454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 350404454400 its reverse (4454404053), we get a palindrome (354858858453).

The spelling of 350404454400 in words is "three hundred fifty billion, four hundred four million, four hundred fifty-four thousand, four hundred".