10354464 has 72 divisors (see below), whose sum is σ = 29762460. Its totient is φ = 3414528.

The previous prime is 10354453. The next prime is 10354483. The reversal of 10354464 is 46445301.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 242064 = 3180^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10354464³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45102 + ... + 45330.

Almost surely, 2^10354464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881230).

10354464 is an abundant number, since it is smaller than the sum of its proper divisors (19407996).

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

10354464 is a wasteful number, since it uses less digits than its factorization.

10354464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

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

The square root of 10354464 is about 3217.8352972146. The cubic root of 10354464 is about 217.9595357380.

Adding to 10354464 its reverse (46445301), we get a palindrome (56799765).

The spelling of 10354464 in words is "ten million, three hundred fifty-four thousand, four hundred sixty-four".