64454100 has 72 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 17078400.

The previous prime is 64454083. The next prime is 64454101. The reversal of 64454100 is 145446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64454101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53707 + ... + 54893.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^64454100 is an apocalyptic number.

64454100 is a gapful number since it is divisible by the number (60) 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 64454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

64454100 is an abundant number, since it is smaller than the sum of its proper divisors (123221388).

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

64454100 is a wasteful number, since it uses less digits than its factorization.

64454100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64454100 is about 8028.3310843537. The cubic root of 64454100 is about 400.9438129579.

Adding to 64454100 its reverse (145446), we get a palindrome (64599546).

The spelling of 64454100 in words is "sixty-four million, four hundred fifty-four thousand, one hundred".