88461450 has 384 divisors, whose sum is σ = 325693440. Its totient is φ = 17107200.

The previous prime is 88461437. The next prime is 88461463. The reversal of 88461450 is 5416488.

It is an interprime number because it is at equal distance from previous prime (88461437) and next prime (88461463).

It is a super-2 number, since 2×88461450² = 15650856272205000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2390832 + ... + 2390868.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^88461450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88461450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

88461450 is an abundant number, since it is smaller than the sum of its proper divisors (237231990).

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

88461450 is a wasteful number, since it uses less digits than its factorization.

88461450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88461450 is about 9405.3947285587. The cubic root of 88461450 is about 445.5721294858.

It can be divided in two parts, 8846 and 1450, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 88461450 in words is "eighty-eight million, four hundred sixty-one thousand, four hundred fifty".