61454900 has 72 divisors (see below), whose sum is σ = 147245784. Its totient is φ = 22118400.

The previous prime is 61454893. The next prime is 61454909. The reversal of 61454900 is 945416.

It can be written as a sum of positive squares in 12 ways, for example, as 35117476 + 26337424 = 5926^2 + 5132^2 .

It is a super-3 number, since 3×61454900³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61454909) 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, 52724 + ... + 53876.

Almost surely, 2^61454900 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 61454900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73622892).

61454900 is an abundant number, since it is smaller than the sum of its proper divisors (85790884).

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

61454900 is a wasteful number, since it uses less digits than its factorization.

61454900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 61454900 is about 7839.3175723401. The cubic root of 61454900 is about 394.6258273701.

The spelling of 61454900 in words is "sixty-one million, four hundred fifty-four thousand, nine hundred".