401464350 has 360 divisors, whose sum is σ = 1381868400. Its totient is φ = 86365440.

The previous prime is 401464339. The next prime is 401464351. The reversal of 401464350 is 53464104.

401464350 is a `hidden beast` number, since 4 + 0 + 14 + 643 + 5 + 0 = 666.

It is a super-2 number, since 2×401464350² = 322347248641845000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401464351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23615542 + ... + 23615558.

Almost surely, 2^401464350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401464350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690934200).

401464350 is an abundant number, since it is smaller than the sum of its proper divisors (980404050).

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

401464350 is a wasteful number, since it uses less digits than its factorization.

401464350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 401464350 is about 20036.5753061745. The cubic root of 401464350 is about 737.7043233547.

The spelling of 401464350 in words is "four hundred one million, four hundred sixty-four thousand, three hundred fifty".