1464350400 has 210 divisors, whose sum is σ = 5383060100. Its totient is φ = 390458880.

The previous prime is 1464350359. The next prime is 1464350401. The reversal of 1464350400 is 40534641.

1464350400 is a `hidden beast` number, since 14 + 643 + 5 + 0 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1464350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 123951 + ... + 135249.

Almost surely, 2^1464350400 is an apocalyptic number.

1464350400 is a gapful number since it is divisible by the number (10) 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 1464350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691530050).

1464350400 is an abundant number, since it is smaller than the sum of its proper divisors (3918709700).

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

1464350400 is a wasteful number, since it uses less digits than its factorization.

1464350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11309 counting only the distinct ones).

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

The square root of 1464350400 is about 38266.8315908177. The cubic root of 1464350400 is about 1135.5728573317.

The spelling of 1464350400 in words is "one billion, four hundred sixty-four million, three hundred fifty thousand, four hundred".