65454480 has 480 divisors, whose sum is σ = 288148224. Its totient is φ = 13436928.

The previous prime is 65454463. The next prime is 65454497. The reversal of 65454480 is 8445456.

65454480 = 102³ + 103³ + ... + 138³.

It is an interprime number because it is at equal distance from previous prime (65454463) and next prime (65454497).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1769022 + ... + 1769058.

Almost surely, 2^65454480 is an apocalyptic number.

65454480 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 65454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

65454480 is an abundant number, since it is smaller than the sum of its proper divisors (222693744).

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

65454480 is a wasteful number, since it uses less digits than its factorization.

65454480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 65454480 is about 8090.3943043587. The cubic root of 65454480 is about 403.0074973925.

It can be divided in two parts, 6545 and 4480, that added together give a square (11025 = 105²).

The spelling of 65454480 in words is "sixty-five million, four hundred fifty-four thousand, four hundred eighty".