1504461630 has 64 divisors (see below), whose sum is σ = 4150476288. Its totient is φ = 341880960.

The previous prime is 1504461521. The next prime is 1504461641. The reversal of 1504461630 is 361644051.

1504461630 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1504461630² = 4526809592284513800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15625 + ... + 57035.

It is an arithmetic number, because the mean of its divisors is an integer number (64851192).

Almost surely, 2^1504461630 is an apocalyptic number.

1504461630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1504461630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075238144).

1504461630 is an abundant number, since it is smaller than the sum of its proper divisors (2646014658).

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

1504461630 is a wasteful number, since it uses less digits than its factorization.

1504461630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41601.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1504461630 is about 38787.3900900795. The cubic root of 1504461630 is about 1145.8480727786.

It can be divided in two parts, 150446 and 1630, that added together give a triangular number (152076 = T₅₅₁).

The spelling of 1504461630 in words is "one billion, five hundred four million, four hundred sixty-one thousand, six hundred thirty".